Heat invariants of Riemannian manifolds

Details Heat invariants of Riemannian manifolds Heat invariants of Riemannian manifolds

1999-05-12

arxiv.org/abs/math/9905073v2

Mathematics

Differential Geometry

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

Scientific paper

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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