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arXiv · 2108.06951

The sharp lower bound of the first Dirichlet eigenvalue for geodesic balls

Haibin Wang·Guoyi Xu·Jie Zhou
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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.

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Haibin Wang, Guoyi Xu, Jie Zhou. 2021-08-16. The sharp lower bound of the first Dirichlet eigenvalue for geodesic balls. https://doi.org/10.1007/s00209-021-02859-8

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