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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 6, Pages 1362–1371
(Mi smj1376)
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This article is cited in 6 scientific papers (total in 6 papers)
A discreteness criterion for the spectrum of the Laplace–Beltrami operator on quasimodel manifolds
A. V. Svetlov Volgograd State University
Abstract:
We study the spectrum of the Laplace–Beltrami operator on noncompact Riemannian manifolds of a special form, in particular on model manifolds. We obtain a discreteness criterion for the spectrum in terms of the volume and capacity of some domains on a manifold.
Keywords:
noncompact Riemannian manifold, Laplace–Beltrami operator, discrete spectrum.
Received: 16.01.2002
Citation:
A. V. Svetlov, “A discreteness criterion for the spectrum of the Laplace–Beltrami operator on quasimodel manifolds”, Sibirsk. Mat. Zh., 43:6 (2002), 1362–1371; Siberian Math. J., 43:6 (2002), 1103–1111
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