On Nirenberg's non-embeddable CR structure

2021 ◽  
pp. 1-18
Author(s):  
Elisabetta Barletta ◽  
Sorin Dragomir ◽  
Francesco Esposito ◽  
Ioannis D. Platis
Keyword(s):  
Cr Structure

STATIONARY DISCS AND GEOMETRY OF CR MANIFOLDS OF CODIMENSION TWO

2001 ◽  
Vol 12 (08) ◽  
pp. 877-890 ◽  
Author(s):  
A. SUKHOV ◽  
A. TUMANOV
Keyword(s):  
Contact Structure ◽  
Cr Manifolds ◽  
Codimension Two ◽  
Strictly Convex ◽  
Cr Structure ◽  
Conormal Bundle ◽  
Convex Hypersurfaces

We give a construction of stationary discs and the indicatrix for manifolds of higher codimension which is a partial analog of L. Lempert's theory of stationary discs for strictly convex hypersurfaces. This leads to new invariants of the CR structure in higher codimension linked with the contact structure of the conormal bundle.

scholarly journals Pseudo-conformal quaternionic CR structure on (4n + 3)-dimensional manifolds

2007 ◽  
Vol 187 (3) ◽  
pp. 487-529 ◽  
Author(s):  
Dmitri Alekseevsky ◽  
Yoshinobu Kamishima
Keyword(s):  
3 Dimensional ◽  
Cr Structure

scholarly journals On Quaternionic 3 CR-Structure and Pseudo-Riemannian Metric

2018 ◽  
Vol 09 (02) ◽  
pp. 114-129
Author(s):  
Yoshinobu Kamishima
Keyword(s):  
Riemannian Metric ◽  
Cr Structure

Embeddability of Some Three-Dimensional Weakly Pseudoconvex CR Structures

2004 ◽  
Vol 47 (1) ◽  
pp. 133-143 ◽  
Author(s):  
Wei Wang
Keyword(s):  
Three Dimensional ◽  
Cr Structure ◽  
Weakly Pseudoconvex ◽  
Complex Ellipsoid ◽  
Cr Structures

AbstractWe prove that a class of perturbations of standard CR structure on the boundary of threedimensional complex ellipsoid Ep, q can be realized as hypersurfaces on ℂ2, which generalizes the result of Burns and Epstein on the embeddability of some perturbations of standard CR structure on S3.

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