CR Embeddings, Chains, and the Fefferman Bundle
Differential Geometry
2013-03-13 v3 Complex Variables
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.
Keywords
Cite
@article{arxiv.1010.3458,
title = {CR Embeddings, Chains, and the Fefferman Bundle},
author = {André Minor},
journal= {arXiv preprint arXiv:1010.3458},
year = {2013}
}