On the Heat Diffusion for Generic Riemannian and Sub-Riemannian Structures
On the Heat Diffusion for Generic Riemannian and Sub-Riemannian Structures
In this article, we provide the small-time heat kernel asymptotics at the cut locus in three relevant cases: generic low-dimensional Riemannian manifolds, generic 3D contact sub-Riemannian manifolds (close to the starting point), and generic 4D quasi-contact sub-Riemannian manifolds (close to a generic starting point). As a by-product, we show that, …