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

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

Let 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 are reducible to -valued absolute parallelisms and give applications of this fact. Our result is the first instance of reduction to absolut...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:The Journal of Geometric Analysis 2013-07, Vol.23 (3), p.1571-1605
Hauptverfasser: Isaev, Alexander, Zaitsev, Dmitri
Format: Artikel
Sprache:eng
Schlagworte:
Abstract Harmonic Analysis
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Global Analysis and Analysis on Manifolds
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Let 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 are reducible to -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.
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-013-9419-4