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

Autor:	T. V. Zykova
Rok vydání:	2013
Předmět:	Trace (linear algebra) Geodesic General Mathematics Operator (physics) Mathematical analysis Cotangent space Mathematics::Spectral Theory Manifold symbols.namesake Laplace–Beltrami operator Metric (mathematics) symbols Dirichlet series Mathematics
Zdroj:	Mathematical Notes. 93:397-411
ISSN:	1573-8876 0001-4346
Popis:	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).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ed6c92b0d5439d2bc2aa1736bf79567b https://doi.org/10.1134/s0001434613030061 Zobrazit plný text záznamu Plný text ve formátu PDF