The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration
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 OH<sup>1</sup>. We also obtain two integral representations for the corresponding subelliptic heat kernel.
Keyword(s):
Keyword(s):
2009 ◽
Vol 46
(6)
◽
pp. 1099-1133
◽
2009 ◽
Vol 2009
◽
pp. 1-12