The qc Yamabe problem on non-spherical quaternionic contact manifolds
Differential Geometry
2016-12-08 v1
Abstract
It is shown that the qc Yamabe problem has a solution on any compact qc manifold which is non-locally qc equivalent to the standard 3-Sasakian sphere. Namely, it is proved that on a compact non-locally spherical qc manifold there exists a qc conformal qc structure with constant qc scalar curvature
Keywords
Cite
@article{arxiv.1612.02406,
title = {The qc Yamabe problem on non-spherical quaternionic contact manifolds},
author = {Stefan Ivanov and Alexander Petkov},
journal= {arXiv preprint arXiv:1612.02406},
year = {2016}
}
Comments
31 pages, no figures. arXiv admin note: text overlap with arXiv:0807.0465 by other authors