The Almost Schur Lemma in Quaternionic Contact Geometry
Differential Geometry
2022-04-12 v1
Abstract
We establish quaternionic contact (qc) versions of the so called Almost Schur Lemma, which give estimations of the qc scalar curvature on a compact qc manifold to be a constant in terms of the norm of the -component and the norm of the trace-free part of the -component of the horizontal qc Ricci tensor and the torsion endomorphism, under certain positivity conditions.
Cite
@article{arxiv.2204.04482,
title = {The Almost Schur Lemma in Quaternionic Contact Geometry},
author = {Stefan Ivanov and Alexander Petkov},
journal= {arXiv preprint arXiv:2204.04482},
year = {2022}
}
Comments
14 pages, no figures