On the fundamental tone of immersions and submersions
Differential Geometry
2017-10-19 v4
Abstract
In this paper we obtain lower bound estimates of the spectrum of Laplace-Beltrami operator on complete submanifolds with bounded mean curvature, whose ambient space admits a Riemannian submersion over a Riemannian manifold with negative sectional curvature. Our main theorem generalizes many previous known estimates and applies for both immersions and submersions.
Keywords
Cite
@article{arxiv.1306.1559,
title = {On the fundamental tone of immersions and submersions},
author = {Marcos Petrúcio Cavalcante and Fernando Manfio},
journal= {arXiv preprint arXiv:1306.1559},
year = {2017}
}
Comments
Revised version; to appear in Proceedings of the AMS