%0 Journal Article
%T Small time heat kernel asymptotics at the cut locus on surfaces of revolution
%A Davide Barilari
%A Jacek Jendrej
%J Mathematics
%D 2012
%I arXiv
%X 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.
%U http://arxiv.org/abs/1211.1811v2