The regularized trace of the perturbed Laplace-Beltrami operator on a certain family of manifolds

DOI10.1134/S1064562411020360zbMath1232.58018MaRDI QIDQ656295

T. V. Zykova

Publication date: 17 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

regularized tracemanifolds with closed geodesicsperturbed Laplace-Beltrami operator

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Second-order elliptic equations (35J15) Geodesics in global differential geometry (53C22) Heat and other parabolic equation methods for PDEs on manifolds (58J35) PDEs on manifolds (35R01)

Cites Work

• Unnamed Item
• Some spectral results for the Laplace operator with potential on the n- sphere
• Some spectral results on rank one symmetric spaces
• An Addendum to: Some spectral results on rank one symmetric spaces
• Band asymptotics in two dimensions
• The Laplace operator with potential on the 2-sphere

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