Spectral gap estimates on compact manifolds

Kevin Oden, Chiung Jue Sung, Jiaping Wang

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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 languageEnglish (US)
Pages (from-to)3533-3548
Number of pages16
JournalTransactions of the American Mathematical Society
Issue number9
StatePublished - 1999


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