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On the curvature groups of a CR manifold

Differential Geometry 2007-05-23 v1

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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Cite

@article{arxiv.math/0605424,
  title  = {On the curvature groups of a CR manifold},
  author = {Elisabetta Barletta and Sorin Dragomir},
  journal= {arXiv preprint arXiv:math/0605424},
  year   = {2007}
}

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10 pages