On the curvature groups of a CR manifold

2006/05/16 by Barletta, Elisabetta, Dragomir, Sorin
#32V20 #53C56 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0605424

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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