The Almost Schur Lemma in Quaternionic Contact Geometry

Stefan Ivanov; Alexander Petkov

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arXiv · 2204.04482

The Almost Schur Lemma in Quaternionic Contact Geometry

Stefan Ivanov·Alexander Petkov

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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 $[-1]$-component and the norm of the trace-free part of the $[3]$-component of the horizontal qc Ricci tensor and the torsion endomorphism, under certain positivity conditions.

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Stefan Ivanov, Alexander Petkov. 2022-04-09. The Almost Schur Lemma in Quaternionic Contact Geometry. https://arxiv.org/abs/2204.04482

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