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arXiv · 1204.3642

The subelliptic heat kernel on the anti-de Sitter spaces

Jing Wang
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Abstract

We study the subelliptic heat kernel of the sub-Laplacian on a 2n+1-dimensional anti-de Sitter space H2n+1 which also appears as a model space of a CR Sasakian manifold with constant negative sectional curvature. In particular we obtain an explicit and geometrically meaningful formula for the subelliptic heat kernel. The key idea is to work in a set of coordinates that reflects the symmetry coming from the Hopf fibration S1->H2n+1. A direct application is obtaining small time asymptotics of the subelliptic heat kernel. Also we derive an explicit formula for the sub-Riemannian distance on H2n+1

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Jing Wang. 2012-04-16. The subelliptic heat kernel on the anti-de Sitter spaces. https://arxiv.org/abs/1204.3642

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