Zhong-Yang type eigenvalue estimate with integral curvature condition

2018/12/03 by Xavier Ramos Olivé, Shoo Seto, Olivé, Xavier Ramos +5 · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1812.00579

18 pages; comments are welcome, typo fixed

arxiv created 2019/03/25 · arxiv updated 2019/03/26

Abstract

We prove a sharp Zhong-Yang type eigenvalue lower bound for closed Riemannian manifolds with control on integral Ricci curvature.

Cited by

• Sharp Spectral Gap Estimates on Manifolds under Integral Ricci Curvature Bounds

Related

• A Lower Bound of the First Eigenvalue of a Closed Manifold with Negative Lower Bound of the Ricci Curvature
• The first Dirichlet Eigenvalue of a Compact Manifold and the Yang Conjecture
• Manifolds with bounded integral curvature and no positive eigenvalue lower bounds
• Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound
• A Lower Bound of The First Eigenvalue of a Closed Manifold with Positive Ricci Curvature