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A Lower Bound of the First Dirichlet Eigenvalue of a Compact Manifold with Positive Ricci Curvature

Differential Geometry 2007-05-23 v4 Analysis of PDEs

Abstract

We give a new estimate on the lower bound for the first Dirichlet eigenvalue for a compact manifold with positive Ricci curvature in terms of the in-diameter and the lower bound of the Ricci curvature. The result improves the previous estimates.

Keywords

Cite

@article{arxiv.math/0406120,
  title  = {A Lower Bound of the First Dirichlet Eigenvalue of a Compact Manifold with Positive Ricci Curvature},
  author = {Jun Ling},
  journal= {arXiv preprint arXiv:math/0406120},
  year   = {2007}
}

Comments

16 pages, title changed