Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Spectral gap estimates on compact manifolds


Authors: Kevin Oden, Chiung-Jue Sung and Jiaping Wang
Journal: Trans. Amer. Math. Soc. 351 (1999), 3533-3548
MSC (1991): Primary 58C40
DOI: https://doi.org/10.1090/S0002-9947-99-02039-5
Published electronically: May 21, 1999
MathSciNet review: 1443886
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 58C40

Retrieve articles in all journals with MSC (1991): 58C40


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: https://doi.org/10.1090/S0002-9947-99-02039-5
Received by editor(s): August 22, 1995
Received by editor(s) in revised form: February 13, 1997
Published electronically: May 21, 1999
Article copyright: © Copyright 1999 American Mathematical Society