A Global Curvature Pinching Result of the First Eigenvalue of the Laplacian on Riemannian Manifolds

Peihe Wang and Ying Li

Abstract and Applied Analysis, 2013, vol. 2013, 1-5

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:237418

DOI: 10.1155/2013/237418

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