






















Abstract:We study Hermitian metrics with constant second scalar curvature on compact manifolds. We first consider a Yamabe-type problem for the second Bismut scalar curvature within balanced Hermitian conformal classes, and then analyze elliptic equations arising from constant second Chern scalar curvature within a fixed Hermitian conformal class and derive geometric consequences. Finally, under an Einstein-type condition on the second Chern curvature, a pluriclosed Gauduchon Hermitian metric has constant second Chern scalar curvature, which in certain cases further implies the existence of a Kähler-Einstein metric.
From: Liangdi Zhang [view email]
[v1]
Wed, 28 Jan 2026 13:09:51 UTC (23 KB)
[v2]
Thu, 25 Jun 2026 05:37:28 UTC (24 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。