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arXiv · 2506.09639

The twisted constant in Calabi-Yau type equation

Genglong Lin
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Abstract

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}.

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Genglong Lin. 2025-06-11. The twisted constant in Calabi-Yau type equation. https://arxiv.org/abs/2506.09639

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