General estimate of the first eigenvalue on manifolds
Probability
2011-11-30 v1 Differential Geometry
Spectral Theory
Abstract
Ten sharp lower estimates of the first non-trivial eigenvalue of Laplacian on compact Riemannian manifolds are reviewed and compared. An improved variational formula, a general common estimate, and a new sharp one are added. The best lower estimates are now updated. The new estimates provide a global picture of what one can expect by our approach.
Cite
@article{arxiv.1111.6663,
title = {General estimate of the first eigenvalue on manifolds},
author = {Mu-Fa Chen},
journal= {arXiv preprint arXiv:1111.6663},
year = {2011}
}
Comments
19 pages