The form-type Calabi-Yau equation on a class of complex manifolds
Liding Huang
TL;DR
This paper investigates the form-type Calabi-Yau equation on certain complex manifolds, introducing the astheno-Ricci curvature and establishing existence results under non-positive curvature conditions.
Contribution
It defines the astheno-Ricci curvature and proves existence of solutions for the form-type Calabi-Yau equation when this curvature is non-positive.
Findings
Existence of solutions under non-positive astheno-Ricci curvature
Introduction of the astheno-Ricci curvature concept
Extension of Calabi-Yau equation theory to new curvature conditions
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.
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Taxonomy
TopicsGeometry and complex manifolds · Advanced Algebra and Geometry · Algebraic Geometry and Number Theory