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The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration (2003.13512v3)
Published 30 Mar 2020 in math.DG and math.AP
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 $\mathbb{O}H1$. We also obtain two integral representations for the corresponding subelliptic heat kernel.