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

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  • Peihe Wang
  • Ying Li

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.

Suggested Citation

  • Peihe Wang & Ying Li, 2013. "A Global Curvature Pinching Result of the First Eigenvalue of the Laplacian on Riemannian Manifolds," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-5, March.
    • Handle: RePEc:hin:jnlaaa:237418
    DOI: 10.1155/2013/237418
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