New Results in Heat-Kernel Asymptotics on Manifolds with Boundary
High Energy Physics - Theory
2007-05-23 v1
Abstract
A review is presented of some recent progress in spectral geometry on manifolds with boundary: local boundary-value problems where the boundary operator includes the effect of tangential derivatives; application of conformal variations and other functorial methods to the evaluation of heat-kernel coefficients; conditions for strong ellipticity of the boundary-value problem; fourth-order operators on manifolds with boundary; non-local boundary conditions in Euclidean quantum gravity. Many deep developments in physics and mathematics are therefore in sight.
Keywords
Cite
@article{arxiv.hep-th/9807126,
title = {New Results in Heat-Kernel Asymptotics on Manifolds with Boundary},
author = {Giampiero Esposito},
journal= {arXiv preprint arXiv:hep-th/9807126},
year = {2007}
}
Comments
31 pages, plain Tex. Paper prepared for the Fourth Workshop on Quantum Field Theory under the Influence of External Conditions, Leipzig, September 1998