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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2010 Volume 51, Number 2, Pages 457–472 (Mi smj2098)

This article is cited 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

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.

UDC: 517.9

Received: 13.12.2008


 English version:
Siberian Mathematical Journal, 2010, 51:2, 370–382

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© Steklov Math. Inst. of RAS, 2024