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Estimate of an Hypoelliptic Heat-Kernel outside the Cut-Locus in Semi-Group Theory

DOI: 10.4236/am.2012.312A285, PP. 2063-2070

Keywords: Subriemannian Geometry, Heat-Kernels

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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.

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