Heat invariants of Riemannian manifolds

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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.
Revised version. Main result is greatly simplified and presented in an invariant form. An application to computation of KdV hierarchy is added

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Differential Geometry, Spectral Theory, 58G25

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http://salesiana.dossiersoluciones.com/handle/123456789/78491

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9905073
 http://arxiv.org/abs/math/9905073

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arXiv