On some new Ricci flow invariant curvature conditions

2024/12/18 by Yiyan Xu, Xu, Yiyan
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2412.13633

Abstract

We would like to study new Ricci flow invariant curvature conditions. Specifically, we provide quantitative evidence for an unpublished conjecture of Böhm and Wilking. As an application, we study the topology of manifolds with pinched curvature.

Related

• Manifolds with 1/4-pinched Curvature are Space Forms
• Curvature, sphere theorems, and the Ricci flow
• Non-negative Ricci curvature on closed manifolds under Ricci flow
• Three-manifolds with non-negatively pinched Ricci curvature
• Ricci flow with surgery in higher dimensions