Reduction of Five-Dimensional Uniformly Levi Degenerate CR Structures to Absolute Parallelisms

Isaev, Alexander; Zaitsev, Dmitri

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Reduction of Five-Dimensional Uniformly Levi Degenerate CR Structures to Absolute Parallelisms

Date

2013

Authors

Isaev, Alexander

Zaitsev, Dmitri

Publisher

American Mathematical Society

Abstract

Let C2,1 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 C2,1 are reducible to so (3,2)-valued absolute parallelisms and give applications of this