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ON THE FUNDAMENTAL TONE OF IMMERSIONS AND SUBMERSIONS.
- Source :
- Proceedings of the American Mathematical Society; Jul2018, Vol. 146 Issue 7, p2963-2971, 9p
- Publication Year :
- 2018
-
Abstract
- In this paper we obtain lower bound estimates of the spectrum of the 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 previously known estimates and applies for both immersions and submersions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 146
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 129189114
- Full Text :
- https://doi.org/10.1090/proc/13969