Integral curvature bounds and diameter estimates on Finsler manifolds

2017/12/25 by Wei Zhao, Zhao, Wei
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1712.09009

openalex publication_date 2017/12/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the integral curvatures of Finsler manifolds and prove several Myers type theorems.

Citations

• Lower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products
• Comparison theorems in Finsler geometry and their applications
• A Universal Volume Comparison Theorem for Finsler Manifolds and Related Results

Related

• Some remarks on Myers theorem for Finsler manifolds
• Some inequalities on Finsler manifolds with weighted Ricci curvature bounded below
• On Finsler metric measure manifolds with integral weighted Ricci curvature bounds
• Integral Curvature Bounds and Bounded Diameter with Bakry--Emery Ricci Tensor
• Kähler Finsler manifolds with curvatures bounded from below