标题： Calabi-Yau 型方程中的扭曲常数 显示英文标题

标题： The twisted constant in Calabi-Yau type equation

摘要： 本文在紧几乎Hermite流形上建立了一类完全非线性椭圆方程的充要条件，推广了Guo-Song的一项近期工作。 作为应用，我们确定了Calabi-Yau型方程中的扭曲常数，包括经典形式、Hessian型和由Popovici以及Tosatti-Weinkove引入的带梯度项的形式类型。 特别地，它回答了Chu-Tosatti-Weinkove的一篇工作中提出的问题\cite[Introduction, Remark 5]{CTW19}。 显示英文摘要

摘要： In this paper we establish a necessary and sufficient condition for solving a general class of fully nonlinear elliptic equations on compact almost Hermitian manifolds, extending a recent work of Guo-Song. As applications, we determine the twisted constants in Calabi-Yau type equations, including the classical one, Hessian type one and form type one with gradient terms introduced by Popovici and Tosatti-Weinkove. In particular, it addresses a question raised in a work of Chu-Tosatti-Weinkove \cite[Introduction, Remark 5]{CTW19}.