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

By A. Isaev, D. Zaitsev. 2012

50 citations recorded by the source corpus.

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 fact. Our result is the first instance of reduction to absolute parallelisms for Levi degenerate CR-structures.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/109494991905d615a60b9c1f9c0e39703218541a

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In Applied Mathematics

1. C. Medori
2. A. Spiro
3. Thibaut Delcroix

In Geometry and Topology

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In Mathematical Physics

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Citations in the corpus

• The Equivalence Problem for Five-dimensional Levi Degenerate CR Manifolds (2012, background): “ucted an absolute parallelism for girdled CR manifolds, in general not determined by a Cartan connection, which therefore gives an alternative solution to the equivalence problems for such manifolds ([IZ]). The paperis organised as follows: in §2 and §3 we give the basic definitions and properties of”