The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration
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. We also obtain two integral representations for the corresponding subelliptic heat kernel.
