On Local Heat Kernel
Mathematical Physics
2023-03-29 v1 High Energy Physics - Theory
Differential Geometry
math.MP
Abstract
The paper is devoted to a local heat kernel, which is a special part of the standard heat kernel. Locality means that all considerations are produced in an open convex set of a smooth Riemannian manifold. We study such properties and concepts as uniqueness, a symmetry of the Seeley-DeWitt coefficients, extension on the whole manifold, a family of special functions, and the late-time asymptotics with the use of the path integral formulation.
Keywords
Cite
@article{arxiv.2303.15785,
title = {On Local Heat Kernel},
author = {A. V. Ivanov},
journal= {arXiv preprint arXiv:2303.15785},
year = {2023}
}
Comments
LaTeX, 11 pages, 1 figure