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Regularized trace of the perturbed Laplace-Beltrami operator on two-dimensional manifolds with closed geodesics

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An Erratum to this article was published on 01 November 2014

Abstract

The main result of the paper is the determination of the regularized trace of the Laplace-Beltrami operator with potential on the manifold given by a function family of smooth almost Liouville metrics on the sphere (besides, all the geodesics of these metrics are closed and have equal length).

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    T. V. Zykova

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  1. T. V. Zykova
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Correspondence to T. V. Zykova.

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Original Russian Text © T. V. Zykova, 2013, published in Matematicheskie Zametki, 2013, Vol. 93, No. 3, pp. 373–389.

An erratum to this article is available at http://dx.doi.org/10.1134/S0001434614110200.

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Zykova, T.V. Regularized trace of the perturbed Laplace-Beltrami operator on two-dimensional manifolds with closed geodesics. Math Notes 93, 397–411 (2013). https://doi.org/10.1134/S0001434613030061

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