All Title Author
Keywords Abstract

Mathematics  2012 

Small time heat kernel asymptotics at the cut locus on surfaces of revolution

Full-Text   Cite this paper   Add to My Lib

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 2-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.

Full-Text

comments powered by Disqus