Heat kernels on curved cones

Abstract

A functorial derivation is presented of a heat-kernel expansion coefficient on a manifold with a singular fixed point set of codimension two. The existence of an extrinsic curvature term is pointed out.

4p.,sign errors corrected and a small addition,uses JyTeX,MUTP/94/09

References in corpus (4)

• Spectral Geometry and One-loop Divergences on Manifolds with Conical Singularities
• Vacuum energy on orbifold factors of spheres
• Effective action in spherical domains
• Finite-Temperature Scalar Field Theory in Static de Sitter Space

Cited by in corpus (14)

• On the Description of the Riemannian Geometry in the Presence of Conical Defects
• Universal terms for the entanglement entropy in 2+1 dimensions
• Thermal Fields, Entropy, and Black Holes
• On one-loop renormalization of black-hole entropy
• One-loop Renormalization of Black Hole Entropy Due to Non-minimally Coupled Matter
• Black Hole Entropy: Off-Shell vs On-Shell
• Entanglement Renyi Entropies in Conformal Field Theories and Holography
• Heat-kernel Coefficients and Spectra of the Vector Laplacians on Spherical Domains with Conical Singularities
• Euclidean and Canonical Formulations of Statistical Mechanics in the Presence of Killing Horizons
• Statistical Mechanics, Gravity, and Euclidean Theory
• Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone
• Hyperspherical entanglement entropy
• The ubiquitous $\zeta$-function and some of its "usual" and "unusual" meromorphic properties
• Polyakov formulas for conical singularities in two dimensions