A Characterization of the Heat Kernel Coefficients
Abstract
We consider the asymptotic expansion of the heat kernel of a generalized Laplacian for $t\to 0^+$ and characterize the coefficients $a_k$ of this expansion by a natural intertwining property. In particular we will give a closed formula for the infinite order jet of these coefficients on the diagonal in terms of the local expressions of the powers of the given generalized Laplacian in normal coordinates.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 May 2001
 arXiv:
 arXiv:math/0105144
 Bibcode:
 2001math......5144W
 Keywords:

 Differential Geometry;
 Spectral Theory;
 58J50
 EPrint:
 LaTeX2e, 10 pages, no figures, fullpage, Washington cyrillic fonts