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Heat invariants of Riemannian manifolds

Iosif Polterovich
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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.

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Iosif Polterovich. 1999-07-13. Heat invariants of Riemannian manifolds. https://arxiv.org/abs/math/9905073

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