Regularized trace of the perturbed Laplace-Beltrami operator on two-dimensional manifolds with closed geodesics
T. V. Zykova · Mathematical Notes · 2013
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).