Asymptotics of the spectrum of the Laplace operator on Riemannian Sol-manifolds in the adiabatic limit

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Abstract

We obtain the adiabatic asymptotics of the distribution function of the spectrum of the Laplace operator on a Riemannian Sol-manifold with a one-dimensional invariant foliation.

Original languageEnglish
Pages (from-to)370-382
Number of pages13
JournalSiberian Mathematical Journal
Volume51
Issue number2
DOIs
Publication statusPublished - 14 May 2010
Externally publishedYes

Keywords

  • Adiabatic limit
  • Distribution function of the spectrum
  • Foliation
  • Laplace operator
  • Operator trace
  • Sol-manifold

ASJC Scopus subject areas

  • Mathematics(all)

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