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

School of Mathematics

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

9 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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10.1090/s0002-9947-99-02039-5

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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.",

author = "Kevin Oden and Sung, \{Chiung Jue\} and Jiaping Wang",

year = "1999",

doi = "10.1090/s0002-9947-99-02039-5",

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T1 - Spectral gap estimates on compact manifolds

AU - Oden, Kevin

AU - Sung, Chiung Jue

AU - Wang, Jiaping

PY - 1999

Y1 - 1999

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AB - 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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U2 - 10.1090/s0002-9947-99-02039-5

DO - 10.1090/s0002-9947-99-02039-5

M3 - Article

AN - SCOPUS:33646928356

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VL - 351

SP - 3533

EP - 3548

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 9

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Spectral gap estimates on compact manifolds

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