English

The form-type Calabi-Yau equation on a class of complex manifolds

Differential Geometry 2024-06-24 v2 Analysis of PDEs

Abstract

In this paper, we study the form type Calabi-Yau equation. We define the astheno-Ricci curvature and prove that there exists a solution for the form type Calabi-Yau equation if the astheno-Ricci curvature is non-positive.

Keywords

Cite

@article{arxiv.2406.12595,
  title  = {The form-type Calabi-Yau equation on a class of complex manifolds},
  author = {Liding Huang},
  journal= {arXiv preprint arXiv:2406.12595},
  year   = {2024}
}