Reduction of five-dimensional uniformly Levi degenerate CR structures to absolute parallelisms

Alexander Isaev; Dmitri Zaitsev

Reduction of five-dimensional uniformly Levi degenerate CR structures to absolute parallelisms

Complex Variables 2012-10-10 v1

Authors: Alexander Isaev , Dmitri Zaitsev

Abstract

Let ${\mathfrak C}_{2,1}$ be the class of connected 5-dimensional CR-hypersurfaces that are 2-nondegenerate and uniformly Levi degenerate of rank 1. We show that the CR-structures in ${\mathfrak C}_{2,1}$ are reducible to ${\mathfrak{so}}(3,2)$ -valued absolute parallelisms and give applications of this result.

Keywords

CR structures Levi degenerate absolute parallelisms 5-dimensional 2-nondegenerate so(3,2)

Cite

@article{arxiv.1210.2428,
  title  = {Reduction of five-dimensional uniformly Levi degenerate CR structures to absolute parallelisms},
  author = {Alexander Isaev and Dmitri Zaitsev},
  journal= {arXiv preprint arXiv:1210.2428},
  year   = {2012}
}

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