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arXiv · 1210.2428

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

Alexander Isaev·Dmitri Zaitsev
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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.

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Alexander Isaev, Dmitri Zaitsev. 2012-10-08. Reduction of five-dimensional uniformly Levi degenerate CR structures to absolute parallelisms. https://arxiv.org/abs/1210.2428

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