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arXiv · 1010.3458

CR Embeddings, Chains, and the Fefferman Bundle

André Minor
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Abstract

In this paper it is shown that a CR embedding from one strictly pseudoconvex hypersurface into another (of strictly larger dimension) sends chains on the source to chains on the target if and only if the embedding has a lift to a conformal isometry of the associated Fefferman bundles with vanishing pseudo-Riemannian second fundamental form. When the target is a sphere these conditions simplify nicely.

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André Minor. 2010-10-17. CR Embeddings, Chains, and the Fefferman Bundle. https://arxiv.org/abs/1010.3458

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