A generalization of almost Schur lemma on CR manifolds
classification
🧮 math.DG
keywords
almostschurlemmamanifoldspseudo-hermitianthetaconstantcontact
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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.
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