Extrinsic eigenvalues upper bounds for submanifolds in weighted manifolds
Differential Geometry
2022-07-12 v1
Abstract
We prove Reilly-type upper bounds for divergence-type operators of the second order as well as for Steklov problems on submanifolds of Riemannian manifolds of bounded sectional curvature endowed with a weighted measure.
Cite
@article{arxiv.2206.06305,
title = {Extrinsic eigenvalues upper bounds for submanifolds in weighted manifolds},
author = {Fernando Manfio and Julien Roth and Abhitosh Upadhyay},
journal= {arXiv preprint arXiv:2206.06305},
year = {2022}
}
Comments
16 pages