Heat invariants of Riemannian manifolds
Differential Geometry
2007-05-23 v2 Spectral Theory
Abstract
We calculate heat invariants of arbitrary Riemannian manifolds without boundary. Every heat invariant is expressed in terms of powers of the Laplacian and the distance function. Our approach is based on a multi-dimensional generalization of the Agmon-Kannai method. An application to computation of the Korteweg-de Vries hierarchy is also presented.
Keywords
Cite
@article{arxiv.math/9905073,
title = {Heat invariants of Riemannian manifolds},
author = {Iosif Polterovich},
journal= {arXiv preprint arXiv:math/9905073},
year = {2007}
}
Comments
Revised version. Main result is greatly simplified and presented in an invariant form. An application to computation of KdV hierarchy is added