The $2$-nd Hessian type equation on almost Hermitian manifolds
Jianchun Chu, Liding Huang, Xiaohua Zhu
TL;DR
This paper establishes second order estimates for the second Hessian type equation on compact almost Hermitian manifolds, advancing the understanding of complex geometric PDEs in non-integrable settings.
Contribution
It provides the first second order estimate for the second Hessian type equation on almost Hermitian manifolds, extending techniques from complex geometry to non-integrable cases.
Findings
Derived second order estimates for the equation.
Extended methods to almost Hermitian manifolds.
Contributed to the theory of complex geometric PDEs.
Abstract
In this paper, we derive the second order estimate to the -nd Hessian type equation on a compact almost Hermitian manifold.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory