The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration
Differential Geometry
2021-02-11 v3 Analysis of PDEs
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 . We also obtain two integral representations for the corresponding subelliptic heat kernel.
Keywords
Cite
@article{arxiv.2003.13512,
title = {The Subelliptic Heat Kernel of the Octonionic Anti-De Sitter Fibration},
author = {Fabrice Baudoin and Gunhee Cho},
journal= {arXiv preprint arXiv:2003.13512},
year = {2021}
}
Comments
This note completes the study of the sub-Laplacians and associated heat kernels for the sub-Riemannian structures coming from H-type submersions over rank-one symmetric spaces. This is the companion of arXiv:1904.08568 which concerned the octonionic Hopf fibration and follows arXiv:1805.06796 and arXiv:1204.3642