Neumann eigenvalue estimate on a compact riemannian manifold

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

In their article, P. Li and S. T. Yau give a lower bound of the first Neumann eigenvalue in terms of geometrical invariants for a compact Riemannian manifold with convex boundary. The purpose of this paper is to generalize their result to a compact Riemannian manifold with possibly nonconvex boundary.

Original languageEnglish
Pages (from-to)961-970
Number of pages10
JournalProceedings of the American Mathematical Society
Volume108
Issue number4
DOIs
Publication statusPublished - 1990 Apr

Fingerprint

Eigenvalue Estimates
Compact Manifold
Riemannian Manifold
Lower bound
Eigenvalue
Generalise
Invariant

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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abstract = "In their article, P. Li and S. T. Yau give a lower bound of the first Neumann eigenvalue in terms of geometrical invariants for a compact Riemannian manifold with convex boundary. The purpose of this paper is to generalize their result to a compact Riemannian manifold with possibly nonconvex boundary.",
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Neumann eigenvalue estimate on a compact riemannian manifold. / Chen, Roger.

In: Proceedings of the American Mathematical Society, Vol. 108, No. 4, 04.1990, p. 961-970.

Research output: Contribution to journalArticle

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