The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration

preprint2021arXivOpen access

Abstract

In this note, we study the sub-Laplacian of the 15-dimensional octonionic anti-de Sitter space which is obtained by lifting with respect to the anti-de Sitter fibration the Laplacian of the octonionic hyperbolic space OH1\mathbb{O}H^1. We also obtain two integral representations for the corresponding subelliptic heat kernel.

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