A generalization of almost Schur lemma on CR manifolds

Jui-Tang Chen; Nguyen Thac Dung; Chin-Tung Wu

A generalization of almost Schur lemma on CR manifolds

Differential Geometry 2014-05-14 v1

Authors: Jui-Tang Chen , Nguyen Thac Dung , Chin-Tung Wu

Abstract

In this paper, we study a general almost Schur Lemma on pseudo-Hermitian (2n+1)-manifolds $(M,J,\theta)$ for $n\geq2$ . When the equality of almost Schur inequality holds, we derive the contact form $\theta$ is pseudo-Einstein and the pseudo-Hermitian scalar curvature is constant.

Keywords

almost Schur lemma CR manifolds pseudo-Hermitian manifolds contact form pseudo-Einstein scalar curvature

Cite

@article{arxiv.1405.3038,
  title  = {A generalization of almost Schur lemma on CR manifolds},
  author = {Jui-Tang Chen and Nguyen Thac Dung and Chin-Tung Wu},
  journal= {arXiv preprint arXiv:1405.3038},
  year   = {2014}
}

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