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Spectral gap estimates on compact manifolds
Author(s):
Kevin
Oden;
Chiung-Jue
Sung;
Jiaping
Wang
Journal:
Trans. Amer. Math. Soc.
351
(1999),
3533-3548.
MSC (1991):
Primary 58C40
Posted:
May 21, 1999
MathSciNet review:
1443886
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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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Additional Information:
Kevin
Oden
Affiliation:
Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138
Chiung-Jue
Sung
Affiliation:
Department of Mathematics, National Chung Cheng University, Taiwan
Email:
cjsung@math.ccu.edu.tw
Jiaping
Wang
Affiliation:
Department of Mathematics, Stanford University, Stanford, California 94305
Address at time of publication:
Department of Mathematics, Cornell University, Ithaca, New York 14853
Email:
jwang@math.cornell.edu
DOI:
10.1090/S0002-9947-99-02039-5
PII:
S 0002-9947(99)02039-5
Received by editor(s):
August 22, 1995
Received by editor(s) in revised form:
February 13, 1997
Posted:
May 21, 1999
Copyright of article:
Copyright
1999,
American Mathematical Society
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