Spectral gap estimates on compact manifolds

Kevin Oden; Chiung Jue Sung; Jiaping Wang

doi:10.1090/s0002-9947-99-02039-5

Spectral gap estimates on compact manifolds

Kevin Oden, Chiung Jue Sung, Jiaping Wang

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

For a compact Riemannian manifold with boundary, its mass gap is the difference between the first and second smallest Dirichlet eigenvalues. In this paper, taking a variational approach, we obtain an explicit lower bound estimate of the mass gap for any compact manifold in terms of geometric quantities.

Original language	English (US)
Pages (from-to)	3533-3548
Number of pages	16
Journal	Transactions of the American Mathematical Society
Volume	351
Issue number	9
DOIs	https://doi.org/10.1090/s0002-9947-99-02039-5
State	Published - 1999

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title = "Spectral gap estimates on compact manifolds",

abstract = "For a compact Riemannian manifold with boundary, its mass gap is the difference between the first and second smallest Dirichlet eigenvalues. In this paper, taking a variational approach, we obtain an explicit lower bound estimate of the mass gap for any compact manifold in terms of geometric quantities.",

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AU - Oden, Kevin

AU - Sung, Chiung Jue

AU - Wang, Jiaping

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Y1 - 1999

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Spectral gap estimates on compact manifolds

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