The sharp lower bound of the first Dirichlet eigenvalue for geodesic balls
Differential Geometry
2023-06-14 v1 Spectral Theory
Abstract
On complete noncompact Riemannian manifolds with non-negative Ricci curvature, Li-Schoen proved the uniform Poincare inequality for any ge odesic ball. In this note, we obtain the sharp lower bound of the first Dirichlet eigenvalue of such geodesic balls, which implies the sharp Poincare inequality for geodesic balls.
Keywords
Cite
@article{arxiv.2108.06951,
title = {The sharp lower bound of the first Dirichlet eigenvalue for geodesic balls},
author = {Haibin Wang and Guoyi Xu and Jie Zhou},
journal= {arXiv preprint arXiv:2108.06951},
year = {2023}
}
Comments
to appear in Math Z