A heat equation on a quaternionic contact manifold
Differential Geometry
2016-08-02 v1 Analysis of PDEs
Abstract
A quaternionic contact (qc) heat equation and the corresponding qc energy functional are introduced. It is shown that the qc energy functional is monotone non-increasing along the qc heat equation on a compact qc manifold provided certain positivity conditions are satisfied.
Cite
@article{arxiv.1608.00460,
title = {A heat equation on a quaternionic contact manifold},
author = {Stefan Ivanov and Alexander Petkov},
journal= {arXiv preprint arXiv:1608.00460},
year = {2016}
}
Comments
11 pages, no figers. arXiv admin note: text overlap with arXiv:1210.6932