Eigenvalue estimates for submanifolds with locally bounded mean curvature
Differential Geometry
2016-09-07 v1 Spectral Theory
Abstract
We give lower bounds for the first Dirichilet eigenvalues for domains in submanifolds with locally bounded mean curvatures. These bounds depend on the injectivity radius, sectional curvature (upperbound) of the ambient space and on the mean curvature of the submanifold. For submanifolds fo Hadamard manifolds these lower bounds depend only on the dimension and mean curvature of the submanifold.
Cite
@article{arxiv.math/0208034,
title = {Eigenvalue estimates for submanifolds with locally bounded mean curvature},
author = {G. Pacelli Bessa and J. Fabio Montenegro},
journal= {arXiv preprint arXiv:math/0208034},
year = {2016}
}
Comments
Paper writen in latex, 7 pages