Heat trace expansion on manifolds with conic singularities

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.

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

References in corpus (1)

• Heat-kernels and functional determinants on the generalized cone

Cited by in corpus (2)

• Weyl's law for singular Riemannian manifolds
• Spectral geometry of surfaces with curved conic singularities