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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 2, Pages 457–472 (Mi smj2098)  
This article is cited in 1 scientific paper (total in 1 paper)

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

A. A. Yakovlev

Ufa State Aviation Technical University, Chair of Mathematics, Ufa
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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.
Keywords: Laplace operator, Sol-manifold, foliation, operator trace, distribution function of the spectrum, adiabatic limit.
Received: 13.12.2008
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 2, Pages 370–382
DOI: https://doi.org/10.1007/s11202-010-0038-z
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. A. Yakovlev, “Asymptotics of the spectrum of the Laplace operator on Riemannian Sol-manifolds in the adiabatic limit”, Sibirsk. Mat. Zh., 51:2 (2010), 457–472; Siberian Math. J., 51:2 (2010), 370–382
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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