The CR Almost Schur Lemma and the positivity conditions
Differential Geometry
2022-04-08 v1 Analysis of PDEs
Abstract
We establish a new version of the CR almost Schur Lemma which gives an estimation of the pseudohermitian scalar curvature on a compact strictly pseudoconvex pseudohermitian manifold to be a constant in terms of the norm of the traceless Webster Ricci tensor and the pseudohermitian torsion under a certain positivity condition. In the torsion-free case, i.e. for a compact Sasakian manifold, our positivity condition coincides with the known one and we obtain a better estimate
Keywords
Cite
@article{arxiv.2204.03461,
title = {The CR Almost Schur Lemma and the positivity conditions},
author = {Stefan Ivanov and Alexander Petkov},
journal= {arXiv preprint arXiv:2204.03461},
year = {2022}
}
Comments
14 pages, nofigures. arXiv admin note: text overlap with arXiv:1203.5812