scholarly journals Nonnegativity of the CR Paneitz operator for embeddable CR manifolds

2020 ◽  
Vol 169 (18) ◽  
pp. 3417-3438
Author(s):  
Yuya Takeuchi
Keyword(s):  
Cr Manifolds ◽  
Paneitz Operator

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 The Lichnerowicz theorem on CR manifolds

2007 ◽  
Vol 31 (1) ◽  
pp. 77-97 ◽  
Author(s):  
Elisabetta Barletta
Keyword(s):  
Cr Manifolds
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