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2013 A Global Curvature Pinching Result of the First Eigenvalue of the Laplacian on Riemannian Manifolds
Peihe Wang, Ying Li
Abstr. Appl. Anal. 2013(none): 1-5 (2013). DOI: 10.1155/2013/237418

Abstract

The paper starts with a discussion involving the Sobolev constant on geodesic balls and then follows with a derivation of a lower bound for the first eigenvalue of the Laplacian on manifolds with small negative curvature. The derivation involves Moser iteration.

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Peihe Wang. Ying Li. "A Global Curvature Pinching Result of the First Eigenvalue of the Laplacian on Riemannian Manifolds." Abstr. Appl. Anal. 2013 1 - 5, 2013. https://doi.org/10.1155/2013/237418

Information

Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1275.53040
MathSciNet: MR3039135
Digital Object Identifier: 10.1155/2013/237418

Rights: Copyright © 2013 Hindawi

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