Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4604193 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2014 | 15 Pages |
Abstract
In this paper we investigate the small time heat kernel asymptotics on the cut locus on a class of surfaces of revolution, which are the simplest two-dimensional Riemannian manifolds different from the sphere with non-trivial cut-conjugate locus. We determine the degeneracy of the exponential map near a cut-conjugate point and present the consequences of this result to the small time heat kernel asymptotics at this point. These results give a first example where the minimal degeneration of the asymptotic expansion at the cut locus is attained.
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