Symplectic Geometry

Authors and titles for October 2019

[1] arXiv:1910.00691 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Average number of solutions Show Chinese title

Title: 平均解的数量

Boris Kazarnovskii

Subjects: Symplectic Geometry (math.SG) ; Differential Geometry (math.DG)

[2] arXiv:1910.01096 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Superfiltered $A_\infty$-deformations of the exterior algebra, and local mirror symmetry Show Chinese title

Title: 超滤过的$A_\infty$-变形和外代数的局部镜像对称性

Jack Smith

Comments: v3 Improved exposition and corrected some mistakes in light of referee comments. Accepted version, to appear in JLMS

Journal-ref: J. London Math. Soc. Volume 105 (2022), 2203-2248

Subjects: Symplectic Geometry (math.SG) ; Algebraic Geometry (math.AG) ; Quantum Algebra (math.QA)

[3] arXiv:1910.01101 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Geometric and algebraic presentations of Weinstein domains Show Chinese title

Title: 魏斯泰因流形的几何和代数表示

Oleg Lazarev

Comments: 37 pages, 7 figures. Comments welcome!

Subjects: Symplectic Geometry (math.SG) ; K-Theory and Homology (math.KT)

[4] arXiv:1910.01359 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: A remark on the contactomorphism group of overtwisted contact spheres Show Chinese title

Title: 关于扭曲接触球面的接触同胚群的备注

Eduardo Fernández, Fabio Gironella

Comments: 10 pages. Comments are welcome!

Subjects: Symplectic Geometry (math.SG)

[5] arXiv:1910.01682 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Topology of symplectomorphism groups and ball-swappings Show Chinese title

Title: 辛同胚群的拓扑和球交换

Jun Li, Weiwei Wu

Comments: 20 pages. Comments welcome!

Subjects: Symplectic Geometry (math.SG) ; Algebraic Topology (math.AT)

[6] arXiv:1910.01947 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: (Quasi-)Hamiltonian manifolds of cohomogeneity one Show Chinese title

Title: (准)余维一的哈密顿流形

Friedrich Knop, Kay Paulus

Comments: v1: 24 pages, this paper replaces arXiv:1712.09036; v2: 26 pages, minor changes; v3: 25 pages, final version

Journal-ref: Math. Z. 305, 29 (2023)

Subjects: Symplectic Geometry (math.SG) ; Algebraic Geometry (math.AG) ; Differential Geometry (math.DG) ; Representation Theory (math.RT)

[7] arXiv:1910.02796 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Loops in the fundamental group of $\mathrm{Symp} (\mathbb C\mathbb P^2\#\,5\overline{ \mathbb C\mathbb P}\,\!^2)$ which are not represented by circle actions Show Chinese title

Title: Loops in the fundamental group of $\mathrm{Symp} (\mathbb C\mathbb P^2\#\,5\overline{ \mathbb C\mathbb P}\,\!^2)$ which are not represented by circle actions

Sílvia Anjos, Miguel Barata, Martin Pinsonnault, Ana Alexandra Reis

Comments: Removed section 4.5 as there was a serious issue in the proof of Proposition 4.18 in the previous version. Changed the statement of Theorem 1.4 accordingly, to a slightly weaker result. Comments welcome!

Subjects: Symplectic Geometry (math.SG)

[8] arXiv:1910.03370 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Tau-functions and monodromy symplectomorphisms Show Chinese title

Title: Tau函数和单值化辛同胚

Marco Bertola, Dmitry Korotkin

Comments: 37 pages , 6 figures. This is a significantly extended version of arXiv:1903.09197, and it supersedes it. V2: Major revision V3: minor corrections. V4: further minor corrections. V5: typo corrected

Subjects: Symplectic Geometry (math.SG) ; Mathematical Physics (math-ph) ; Exactly Solvable and Integrable Systems (nlin.SI)

[9] arXiv:1910.03824 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Diffeomorphism type via aperiodicity in Reeb dynamics Show Chinese title

Title: 通过Reeb动力学中的非周期性来确定微分同胚类型

Myeonggi Kwon, Kevin Wiegand, Kai Zehmisch

Journal-ref: J. Fixed Point Theory Appl. 24 (2022), no. 2, Paper No. 21, 26 pp

Subjects: Symplectic Geometry (math.SG) ; Dynamical Systems (math.DS)

[10] arXiv:1910.04553 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Lagrangian torus invariants using ECH = SWF Show Chinese title

Title: 使用ECH = SWF的拉格朗日环面不变量

Chris Gerig

Comments: 23 pages, to appear in J. Symplectic Geom. with small edits. arXiv admin note: text overlap with arXiv:1905.10938, arXiv:1809.03405

Subjects: Symplectic Geometry (math.SG) ; Differential Geometry (math.DG)

[11] arXiv:1910.04752 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions Show Chinese title

Title: 广义维滕积分在哈密顿圆作用下的渐近展开

Benjamin Küster, Pablo Ramacher

Comments: 32 pages. To appear in J. Symplectic Geom

Subjects: Symplectic Geometry (math.SG)

[12] arXiv:1910.05011 (cross-list from math.SG) [cn-pdf, pdf, html, other]

Title: Remarks on Symplectic Geometry Show Chinese title

Title: 关于辛几何的备注

Jae-Hyun Yang

Comments: 40 pages

Subjects: Symplectic Geometry (math.SG)

[13] arXiv:1910.05073 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: On a quasimorphism of Hamiltonian diffeomorphisms and quantization Show Chinese title

Title: 关于哈密顿微分同胚的拟同态和量子化

Laurent Charles

Subjects: Symplectic Geometry (math.SG) ; Mathematical Physics (math-ph)

[14] arXiv:1910.05201 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Deformation Theory of Log Pseudo-holomorphic Curves and Logarithmic Ruan-Tian Perturbations Show Chinese title

Title: 对数伪全纯曲线的变形理论和对数Ruan-Tian扰动

Mohammad Farajzadeh-Tehrani

Comments: 81 pages, 8 figures

Subjects: Symplectic Geometry (math.SG) ; Algebraic Geometry (math.AG)

[15] arXiv:1910.06132 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Symplectic fillings of asymptotically dynamically convex manifolds II--$k$-dilations Show Chinese title

Title: 辛填充的渐近动态凸流形 II--$k$-扩张

Zhengyi Zhou

Comments: 46 pages, 6 figures. Major revision with updated definition of semi-dilation. No change to the results. Comments welcome!

Subjects: Symplectic Geometry (math.SG)

[16] arXiv:1910.07114 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Cylindrical contact homology of 3-dimensional Brieskorn manifolds Show Chinese title

Title: 三维Brieskorn流形的柱面接触同调

Sebastian Haney, Thomas E. Mark

Journal-ref: Algebr. Geom. Topol. 22 (2022) 153-187

Subjects: Symplectic Geometry (math.SG) ; Geometric Topology (math.GT)

[17] arXiv:1910.08260 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: ECH capacities and the Ruelle invariant Show Chinese title

Title: ECH容量和Ruelle不变量

Michael Hutchings

Comments: v3: updated references, to appear in J. Fixed Point Theory and Applications

Subjects: Symplectic Geometry (math.SG)

[18] arXiv:1910.08990 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Formal groups and quantum cohomology Show Chinese title

Title: 形式群与量子上同调

Paul Seidel

Journal-ref: Geom. Topol. 27 (2023) 2937-3060

Subjects: Symplectic Geometry (math.SG) ; Algebraic Geometry (math.AG) ; Algebraic Topology (math.AT)

[19] arXiv:1910.10016 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Geometric quantization of b-symplectic manifolds Show Chinese title

Title: b-对称流形的几何量子化

Maxim Braverman, Yiannis Loizides, Yanli Song

Comments: 24 pages, minor corrections

Subjects: Symplectic Geometry (math.SG)

[20] arXiv:1910.10888 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Exotic Lagrangian tori in Grassmannians Show Chinese title

Title: 奇异的拉格朗日环面在格拉斯曼流形中

Marco Castronovo

Comments: 26 pages, 5 figures. Simplified exposition; expanded discussion of generation of the Fukaya category

Journal-ref: Quantum Topol. 14 (2023), no. 1, 65-99

Subjects: Symplectic Geometry (math.SG) ; Geometric Topology (math.GT)

[21] arXiv:1910.12119 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Equivariant Floer theory and double covers of three-manifolds Show Chinese title

Title: 等变弗洛尔理论与三流形的二重覆盖

Tim Large

Comments: 107 pages

Subjects: Symplectic Geometry (math.SG) ; Geometric Topology (math.GT)

[22] arXiv:1910.12264 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Rel--$C^\infty$ Structures on Gromov-Witten Moduli Spaces Show Chinese title

Title: Rel-$C^\infty$结构在Gromov-Witten模空间上

Mohan Swaminathan

Comments: 37 pages, to appear in Journal of Symplectic Geometry

Subjects: Symplectic Geometry (math.SG)

[23] arXiv:1910.12338 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Counting embedded curves in symplectic 6-manifolds Show Chinese title

Title: 在辛6流形中计数嵌入曲线

Aleksander Doan, Thomas Walpuski

Subjects: Symplectic Geometry (math.SG)

[24] arXiv:1910.13031 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: A Quaternionic Structure as a Landmark for Symplectic Maps Show Chinese title

Title: 四元数结构作为辛映射的标志

Hugo Jiménez-Pérez

Comments: 7 pages, small modifications, some formulas corrected, we add some paragraphs about the application in symplectic integration

Subjects: Symplectic Geometry (math.SG) ; Mathematical Physics (math-ph)

[25] arXiv:1910.13151 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: An alternative proof of infinite dimensional Gromov's non-squeezing for compact perturbations of linear maps Show Chinese title

Title: 线性映射的紧致扰动的无限维Gromov非压缩定理的另一种证明

Lorenzo Rigolli

Comments: The content of this paper is part of my PhD thesis defended in January 2019 at "Ruhr Universit\"at Bochum"

Subjects: Symplectic Geometry (math.SG) ; Analysis of PDEs (math.AP)

[26] arXiv:1910.13400 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization Show Chinese title

Title: 通过螺旋度和几何量子化推导HOMFLYPT纽结多项式

Antonio Michele Miti, Mauro Spera

Comments: 5 pages, 2 figures. Extended and revised version of Section 5 of the paper arXiv:1805.01696v2

Subjects: Symplectic Geometry (math.SG) ; Mathematical Physics (math-ph) ; Algebraic Topology (math.AT)

[27] arXiv:1910.14132 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: A dynamical construction of Liouville domains Show Chinese title

Title: Liouville域的动力学构造

Yang Huang

Comments: 7 pages, 1 figure; added more examples and remarks

Subjects: Symplectic Geometry (math.SG) ; Dynamical Systems (math.DS)

[28] arXiv:1910.14474 (cross-list from math.SG) [cn-pdf, pdf, other]

Title: Coisotropic Ekeland-Hofer capacities Show Chinese title

Title: 共形Ekeland-Hofer容量

Rongrong Jin, Guangcun Lu

Comments: Published in: Proceedings of the Royal Society of Edinburgh Section A: Mathematics

Subjects: Symplectic Geometry (math.SG)

[29] arXiv:1910.00384 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Generalization of solutions of the Jacobi PDEs associated to time reparametrizations of Poisson systems Show Chinese title

Title: 雅可比偏微分方程解的时间重参数化泊松系统的推广

Benito Hernández-Bermejo

Journal-ref: Journal of Mathematical Analysis and Applications 344(2), 655-666 (2008)

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP) ; Symplectic Geometry (math.SG) ; Exactly Solvable and Integrable Systems (nlin.SI) ; Classical Physics (physics.class-ph)

[30] arXiv:1910.00530 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Generalized results on the role of new-time transformations in finite-dimensional Poisson systems Show Chinese title

Title: 新时间变换在有限维泊松系统中的作用的广义结果

Benito Hernández-Bermejo

Journal-ref: Physics Letters A 374(6), 836-841 (2010)

Subjects: Mathematical Physics (math-ph) ; Dynamical Systems (math.DS) ; Symplectic Geometry (math.SG) ; Exactly Solvable and Integrable Systems (nlin.SI) ; Classical Physics (physics.class-ph)

[31] arXiv:1910.00848 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Separation of variables in the Jacobi identities Show Chinese title

Title: 变量分离在雅可比恒等式中

Benito Hernández-Bermejo, V. Fairén

Journal-ref: Physics Letters A 271(4), 258-263 (2000)

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP) ; Dynamical Systems (math.DS) ; Symplectic Geometry (math.SG) ; Classical Physics (physics.class-ph)

[32] arXiv:1910.00850 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Generalization of the separation of variables in the Jacobi identities for finite-dimensional Poisson systems Show Chinese title

Title: 有限维泊松系统的雅可比恒等式中变量分离的推广

Benito Hernández-Bermejo

Journal-ref: Physics Letters A 375(19), 1972-1975 (2011)

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP) ; Symplectic Geometry (math.SG) ; Exactly Solvable and Integrable Systems (nlin.SI) ; Classical Physics (physics.class-ph)

[33] arXiv:1910.02037 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: A compactification of the moduli space of marked vertical lines in $\mathbb{C}^2$ Show Chinese title

Title: $\mathbb{C}^2$中带标记垂直线模空间的紧化

Nathaniel Bottman, Alexei Oblomkov

Comments: 37 pages, 20 figures

Subjects: Algebraic Geometry (math.AG) ; Symplectic Geometry (math.SG)

[34] arXiv:1910.02723 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Hamiltonian structure and Darboux theorem for families of generalized Lotka-Volterra systems Show Chinese title

Title: 哈密顿结构和广义洛特卡-沃尔泰拉系统的达布定理

Benito Hernández-Bermejo, Victor Fairén

Journal-ref: Journal of Mathematical Physics 39(11), 6162-6174 (1998)

Subjects: Mathematical Physics (math-ph) ; Dynamical Systems (math.DS) ; Symplectic Geometry (math.SG) ; Biological Physics (physics.bio-ph) ; Classical Physics (physics.class-ph)

[35] arXiv:1910.03309 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Local Stability and Lyapunov Functionals for n-Dimensional Quasipolynomial Conservative Systems Show Chinese title

Title: n维准多项式保守系统的局部稳定性与李雅普诺夫泛函

Benito Hernández-Bermejo, Victor Fairén

Journal-ref: Journal of Mathematical Analysis and Applications 256(1), 242-256 (2001)

Subjects: Dynamical Systems (math.DS) ; Mathematical Physics (math-ph) ; Symplectic Geometry (math.SG) ; Exactly Solvable and Integrable Systems (nlin.SI) ; Biological Physics (physics.bio-ph)

[36] arXiv:1910.03311 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: One solution of the 3D Jacobi identities allows determining an infinity of them Show Chinese title

Title: 一个解允许确定无限多个三维雅可比恒等式

Benito Hernández-Bermejo

Journal-ref: Physics Letters A 287(5,6), 371-378 (2001)

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP) ; Symplectic Geometry (math.SG) ; Exactly Solvable and Integrable Systems (nlin.SI) ; Classical Physics (physics.class-ph)

[37] arXiv:1910.03314 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: New solutions of the Jacobi equations for three-dimensional Poisson structures Show Chinese title

Title: 雅可比方程的新解法对于三维泊松结构

Benito Hernández-Bermejo

Journal-ref: Journal of Mathematical Physics 42(10), 4984-4996 (2001)

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP) ; Symplectic Geometry (math.SG) ; Exactly Solvable and Integrable Systems (nlin.SI) ; Classical Physics (physics.class-ph)

[38] arXiv:1910.03894 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Simple evaluation of Casimir invariants in finite-dimensional Poisson systems Show Chinese title

Title: 有限维泊松系统中卡西米尔不变量的简单评估

Benito Hernández-Bermejo, V. Fairén

Journal-ref: Physics Letters A 241(3), 148-154 (1998)

Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph) ; Symplectic Geometry (math.SG) ; Exactly Solvable and Integrable Systems (nlin.SI) ; Classical Physics (physics.class-ph)

[39] arXiv:1910.03896 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Computing Casimir invariants from Pfaffian systems Show Chinese title

Title: 从Pfaff系统计算Casimir不变量

T.W. Yudichak, Benito Hernández-Bermejo, P.J. Morrison

Journal-ref: Physics Letters A 260(6), 475-483 (1999)

Subjects: Mathematical Physics (math-ph) ; Symplectic Geometry (math.SG) ; Exactly Solvable and Integrable Systems (nlin.SI) ; Fluid Dynamics (physics.flu-dyn) ; Plasma Physics (physics.plasm-ph)

[40] arXiv:1910.05141 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Characterization and global analysis of a family of Poisson structures Show Chinese title

Title: 泊松结构族的表征和全局分析

Benito Hernández-Bermejo

Comments: arXiv admin note: text overlap with arXiv:1910.03311

Journal-ref: Physics Letters A 355(2), 98-103 (2006)

Subjects: Mathematical Physics (math-ph) ; Dynamical Systems (math.DS) ; Symplectic Geometry (math.SG) ; Exactly Solvable and Integrable Systems (nlin.SI) ; Classical Physics (physics.class-ph)

[41] arXiv:1910.05294 (cross-list from math.DS) [cn-pdf, pdf, other]

Title: Topology change of levels sets in Morse theory Show Chinese title

Title: 水平集在莫尔斯理论中的拓扑变化

Andreas Knauf, Nikolay Martynchuk

Subjects: Dynamical Systems (math.DS) ; Mathematical Physics (math-ph) ; Geometric Topology (math.GT) ; Symplectic Geometry (math.SG)

[42] arXiv:1910.05347 (cross-list from math.DG) [cn-pdf, pdf, other]

Title: Hitchhiker's Guide to Courant Algebroid Relations Show Chinese title

Title: 《Courant代数结构关系指南》

Jan Vysoky

Comments: Some minor things tweaked, typos corrected, references added

Subjects: Differential Geometry (math.DG) ; High Energy Physics - Theory (hep-th) ; Symplectic Geometry (math.SG)

[43] arXiv:1910.05391 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Lambert's theorem and projective dynamics Show Chinese title

Title: 兰伯特定理和射影动力学

Alain Albouy, Lei Zhao

Comments: 16 pages, 1 figure

Journal-ref: Philosophical Transactions of the Royal Society A: mathematical, physical and engineering sciences, 377 (2019)

Subjects: Mathematical Physics (math-ph) ; Metric Geometry (math.MG) ; Symplectic Geometry (math.SG)

[44] arXiv:1910.05844 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Open problems in the Kontsevich graph construction of Poisson bracket symmetries Show Chinese title

Title: Kontsevich图构造泊松括号对称性的开放问题

Arthemy V. Kiselev

Comments: Proc. 26th Int. conference on Integrable Systems and Quantum Symmetries -- ISQS'26 (8--12 July 2019, CVUT Prague, CZ), 8 pages

Journal-ref: J. Phys.: Conf. Ser. (2019) Vol. 1416, Paper 012018, 1--8

Subjects: Mathematical Physics (math-ph) ; Combinatorics (math.CO) ; Quantum Algebra (math.QA) ; Symplectic Geometry (math.SG) ; Exactly Solvable and Integrable Systems (nlin.SI)

[45] arXiv:1910.06164 (cross-list from math.DG) [cn-pdf, pdf, other]

Title: Integrability of quotients in Poisson and Dirac geometry Show Chinese title

Title: 泊松几何和狄拉克几何中商的可积性

Daniel Álvarez

Comments: v2: Sections 4 and 5 of the original version where removed and re-elaborated independently

Journal-ref: Pacific J. Math. 311 (2021) 1-32

Subjects: Differential Geometry (math.DG) ; Symplectic Geometry (math.SG)

[46] arXiv:1910.06193 (cross-list from hep-th) [cn-pdf, pdf, other]

Title: Multi-cover skeins, quivers, and 3d $\mathcal{N}=2$ dualities Show Chinese title

Title: 多覆盖链环、箭头图和三维$\mathcal{N}=2$对偶性

Tobias Ekholm, Piotr Kucharski, Pietro Longhi

Comments: 43+5 pages

Journal-ref: JHEP 02 (2020) 018

Subjects: High Energy Physics - Theory (hep-th) ; Geometric Topology (math.GT) ; Symplectic Geometry (math.SG)

[47] arXiv:1910.06739 (cross-list from econ.GN) [cn-pdf, pdf, other]

Title: The Cobb-Douglas production function revisited Show Chinese title

Title: 柯布-道格拉斯生产函数再审视

Roman G. Smirnov, Kunpeng Wang

Subjects: General Economics (econ.GN) ; Symplectic Geometry (math.SG)

[48] arXiv:1910.06744 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Extended Goldman symplectic structure in Fock-Goncharov coordinates Show Chinese title

Title: Fock-Goncharov坐标中的扩展Goldman辛结构

Marco Bertola, Dmitry Korotkin

Comments: V7: 38 pages, minor improvements. To appear in Journal of Differential Geometry

Subjects: Mathematical Physics (math-ph) ; Symplectic Geometry (math.SG)

[49] arXiv:1910.06765 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Characterization, global analysis and integrability of a family of Poisson structures Show Chinese title

Title: 泊松结构族的表征、全局分析和可积性

Benito Hernández-Bermejo

Comments: arXiv admin note: text overlap with arXiv:1910.05141

Journal-ref: Physics Letters A 372(7), 1009-1017 (2008)

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP) ; Symplectic Geometry (math.SG) ; Exactly Solvable and Integrable Systems (nlin.SI) ; Classical Physics (physics.class-ph)

[50] arXiv:1910.06766 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: New solution family of the Jacobi equations: Characterization, invariants, and global Darboux analysis Show Chinese title

Title: 雅可比方程的新解族：特征，不变量和全局达布分析

Benito Hernández-Bermejo

Comments: arXiv admin note: text overlap with arXiv:1910.04569

Journal-ref: Journal of Mathematical Physics 48(2), 022903 1-11 (2007)

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP) ; Symplectic Geometry (math.SG) ; Exactly Solvable and Integrable Systems (nlin.SI) ; Classical Physics (physics.class-ph)