CR Embeddings, Chains, and the Fefferman Bundle

Details CR Embeddings, Chains, and the Fefferman Bundle CR Embeddings, Chains, and the Fefferman Bundle

2010-10-17

arxiv.org/abs/1010.3458v2

Mathematics

Differential Geometry

Scientific paper

This paper determines a necessary and sufficient condition on a CR embedding from one strictly pseudoconvex hypersurface into another (of strictly larger dimension) so that it may be lifted to a conformal isometry of the associated Fefferman bundles. It is also shown that a CR embedding that preserves chains may always be lifted to such a conformal isometry. When the target is a sphere these conditions become equivalent.

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