Heat trace expansion on manifolds with conic singularities
Spectral Theory
2017-10-17 v2 Analysis of PDEs
Differential Geometry
Abstract
We derive a detailed asymptotic expansion of the heat trace for the Laplace-Beltrami operator on functions on manifolds with conic singularities, using the Singular Asymptotics Lemma of Jochen Bruening and Robert T. Seeley [BS]. In the subsequent paper we investigate how the terms in the expansion reflect the geometry of the manifold.
Cite
@article{arxiv.1701.01874,
title = {Heat trace expansion on manifolds with conic singularities},
author = {Asilya Suleymanova},
journal= {arXiv preprint arXiv:1701.01874},
year = {2017}
}
Comments
The previous version was modified and divided into two parts: this part contains the detailed analytical proof of the expansion; in the subsequent part we consider geometric applications of the expansion