Mathematics > Symplectic Geometry
[Submitted on 13 Sep 2024
]
Title: On the rigidity of translated points
Title: 关于平移点的刚性
Abstract: We show that there exist contact isotopies of the standard contact sphere whose time-1 maps do not have any translated points which are optimally close to the identity in the Shelukhin-Hofer distance. This proves the sharpness of a theorem of Shelukhin on the existence of translated points for contact isotopies of Liouville fillable contact manifolds with small enough Shelukhin-Hofer norm.
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