arXiv Analytics

Sign in

arXiv:math/0406120 [math.DG]AbstractReferencesReviewsResources

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

Jun Ling

Published 2004-06-07, updated 2004-12-08Version 4

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.

Comments: 16 pages, title changed
Categories: math.DG, math.AP
Subjects: 58J50, 35P15, 53C21
Related articles: Most relevant | Search more
arXiv:math/0406296 [math.DG] (Published 2004-06-15, updated 2005-01-12)
Lower Bounds of the First Closed and Neumann Eigenvalues of Compact Manifolds with Positive Ricci Curvature
arXiv:math/0407138 [math.DG] (Published 2004-07-08, updated 2004-12-08)
The first Dirichlet Eigenvalue of a Compact Manifold and the Yang Conjecture
arXiv:2007.08776 [math.DG] (Published 2020-07-17)
Decompositions of the space of Riemannian metrics on a compact manifold with boundary