Eigenvalue comparison on Bakry-Emery manifolds
Analysis of PDEs
2011-11-22 v1 Differential Geometry
Abstract
We prove a comparison theorem on the first Neumann eigenvalue on Bakry-Emery manifolds. Examples are constructed to illustrate the sharpness of the result. A linear explicit lower bound is also proved. We also discuss the asymptotic sharpness of such a result.
Keywords
Cite
@article{arxiv.1111.4967,
title = {Eigenvalue comparison on Bakry-Emery manifolds},
author = {Ben Andrews and Lei Ni},
journal= {arXiv preprint arXiv:1111.4967},
year = {2011}
}