TITLE:
Estimate of an Hypoelliptic Heat-Kernel outside the Cut-Locus in Semi-Group Theory
AUTHORS:
Rémi Léandre
KEYWORDS:
Subriemannian Geometry; Heat-Kernels
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.12A,
December
31,
2012
ABSTRACT:
We give a proof in semi-group
theory based on the Malliavin Calculus of Bismut type in semi-group theory and
Wentzel-Freidlin estimates in semi-group of our result giving an expansion of
an hypoelliptic heat-kernel outside the cut-locus where Bismut’s non-degeneray condition plays a
preominent role.