On the curvature groups of a CR manifold

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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.
10 pages

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Differential Geometry, 53C56; 32V20

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http://salesiana.dossiersoluciones.com/handle/123456789/112812

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605424
 http://arxiv.org/abs/math/0605424

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arXiv