Almost Hermitian Ricci flow

2020/01/18 by Casey Lynn Kelleher, Gang Tian, Kelleher, Casey Lynn +1
Mathematics · Physics and Astronomy · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.2001.06670

Abstract

We introduce a new curvature flow which matches with the Ricci flow on metrics and preserves the almost Hermitian condition. This enables us to use Ricci flow to study almost Hermitian manifolds.

Related

• The Ricci flow under almost non-negative curvature conditions
• Ricci flows with unbounded curvature
• Geometry of Hermitian manifolds
• Second Ricci flow on noncompact Hermitian manifolds
• Curvature flows for almost-hermitian Lie groups