scholarly journals Holomorphic Extension from Weakly Pseudoconcave CR Manifolds

2010 ◽  
Vol 123 ◽  
pp. 69-90 ◽  
Author(s):  
Andrea Altomani ◽  
C. Denson Hill ◽  
Mauro Nacinovich ◽  
Egmont Porten
Keyword(s):  
Holomorphic Extension ◽  
Cr Manifolds

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.

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