On the curvature groups of a CR manifold

Details On the curvature groups of a CR manifold On the curvature groups of a CR manifold

2006-05-16

arxiv.org/abs/math/0605424v1

Mathematics

Differential Geometry

10 pages

Scientific paper

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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