Manifolds with non-positive second Chern-Ricci curvature

2024/07/08 by Xiaokui Yang, Yang, Xiaokui · 2 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2407.05660

Abstract

In this paper, we establish a Kählerian or projectivity criterion for a class of compact Hermitian surfaces with non-positive second Chern-Ricci curvature.

Cited by

• Chern number identities on compact complex surfaces and applications
• Comparison theorems in Hermitian geometry I

Related

• Compact Kähler manifolds with quasi-positive second Chern-Ricci curvature
• Hermitian metrics with vanishing second Chern Ricci curvature
• Hermitian manifolds with quasi-negative curvature
• Kählerness of compact Hermitian surfaces under semi-definite Strominger-Bismut-Ricci curvatures
• Ricci Curvatures on Hermitian manifolds