On the curvature groups of a CR manifold

Elisabetta Barletta; Sorin Dragomir

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On the curvature groups of a CR manifold

Elisabetta Barletta·Sorin Dragomir

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Abstract

We show that any contact form whose Fefferman metric admits a nonzero parallel vector field is pseudo-Einstein of constant pseudohermitian scalar curvature. As an application we compute the curvature groups of the total space of the canonical circle bundle over a CR manifold.

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Elisabetta Barletta, Sorin Dragomir. 2006-05-16. On the curvature groups of a CR manifold. https://arxiv.org/abs/math/0605424

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