Integral curvature bounds and diameter estimates on Finsler manifolds
Wei Zhao
TL;DR
This paper investigates the integral curvature properties of Finsler manifolds and establishes diameter estimates through Myers type theorems, advancing understanding of geometric bounds in Finsler geometry.
Contribution
It introduces new integral curvature bounds for Finsler manifolds and proves Myers type theorems, extending classical results to this broader setting.
Findings
Established diameter bounds under integral curvature conditions
Proved Myers type theorems for Finsler manifolds
Extended classical Riemannian results to Finsler geometry
Abstract
In this paper, we study the integral curvatures of Finsler manifolds and prove several Myers type theorems.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Geometry and complex manifolds