The horizontal heat kernel on the quaternionic anti de-Sitter spaces and related twistor spaces
Differential Geometry
2018-05-18 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
The geometry of the quaternionic anti-de Sitter fibration is studied in details. As a consequence, we obtain formulas for the horizontal Laplacian and subelliptic heat kernel of the fibration. The heat kernel formula is explicit enough to derive small time asymptotics. Related twistor spaces and corresponding heat kernels are also discussed and the connection to the quaternionic magnetic Laplacian is done.
Keywords
Cite
@article{arxiv.1805.06796,
title = {The horizontal heat kernel on the quaternionic anti de-Sitter spaces and related twistor spaces},
author = {Fabrice Baudoin and Nizar Demni and Jing Wang},
journal= {arXiv preprint arXiv:1805.06796},
year = {2018}
}