English

The first Dirichlet Eigenvalue of a Compact Manifold and the Yang Conjecture

Differential Geometry 2007-05-23 v4 Analysis of PDEs

Abstract

We give a new estimate on the lower bound of the first Dirichlet eigenvalue of a compact Riemannian manifold with negative lower bound of Ricci curvature and provide a solution for a conjecture of H. C. Yang.

Keywords

Cite

@article{arxiv.math/0407138,
  title  = {The first Dirichlet Eigenvalue of a Compact Manifold and the Yang Conjecture},
  author = {Jun Ling},
  journal= {arXiv preprint arXiv:math/0407138},
  year   = {2007}
}

Comments

14 pages, Title changed

R2 v1 2026-07-22T17:07:36.196Z