A relative index on the space of 3-dimensional embeddable CR-structures of finite type

2005 ◽  
Vol 278 (4) ◽  
pp. 379-400 ◽  
Author(s):  
Peter Greiner ◽  
Wolfgang Staubach ◽  
Wei Wang
Keyword(s):  
Finite Type ◽  
Relative Index ◽  
3 Dimensional ◽  
Cr Structures

scholarly journals Left-invariant CR structures on 3-dimensional Lie groups

2021 ◽  
Vol 7 (3) ◽  
Author(s):  
Gil Bor ◽  
Howard Jacobowitz
Keyword(s):  
Lie Groups ◽  
3 Dimensional ◽  
Cr Structures

A Relative Index on the Space of Embeddable CR-Structures, II

1998 ◽  
Vol 147 (1) ◽  
pp. 61 ◽  
Author(s):  
Charles L. Epstein
Keyword(s):  
Relative Index ◽  
Cr Structures

scholarly journals FINITE TYPE CURVE IN 3-DIMENSIONAL SASAKIAN MANIFOLD

2010 ◽  
Vol 47 (6) ◽  
pp. 1163-1170 ◽  
Author(s):  
Cetin Camci ◽  
H. Hilmi Hacisalihoglu
Keyword(s):  
Finite Type ◽  
Sasakian Manifold ◽  
Type Curve ◽  
3 Dimensional

A Local Slice Theorem for 3-Dimensional CR Structures

1995 ◽  
Vol 117 (5) ◽  
pp. 1249 ◽  
Author(s):  
Jih-Hsin Cheng ◽  
John M. Lee
Keyword(s):  
3 Dimensional ◽  
Slice Theorem ◽  
Cr Structures

scholarly journals Asymptotic equivariant index of Toeplitz operators and relative index of CR structures

2011 ◽  
pp. 57-79 ◽  
Author(s):  
Louis Boutet de Monvel ◽  
Eric Leichtnam ◽  
Xiang Tang ◽  
Alan Weinstein
Keyword(s):  
Toeplitz Operators ◽  
Relative Index ◽  
Equivariant Index ◽  
Cr Structures

scholarly journals Erratum: A Relative Index on the Space of Embeddable CR-Structures, I

2001 ◽  
Vol 154 (1) ◽  
pp. 223 ◽  
Author(s):  
Charles L. Epstein
Keyword(s):  
Relative Index ◽  
Cr Structures

scholarly journals Obstruction flat rigidity of the CR 3-sphere

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Sean N. Curry ◽  
Peter Ebenfelt
Keyword(s):  
Tangent Space ◽  
Dimensional Space ◽  
Dimensional Case ◽  
Infinite Dimensional Space ◽  
3 Dimensional ◽  
Infinite Dimensional ◽  
Cr Structure ◽  
Cr Structures ◽  
Small Deformations ◽  
Flatness Problem

Abstract We consider the obstruction flatness problem for small deformations of the standard CR 3-sphere. That rigidity holds for the CR sphere was previously known (in all dimensions) for the case of embeddable CR structures, where it also holds at the infinitesimal level. In the 3-dimensional case, however, a CR structure need not be embeddable. Unlike in the embeddable case, it turns out that in the nonembeddable case there is an infinite-dimensional space of solutions to the linearized obstruction flatness equation on the standard CR 3-sphere and this space defines a natural complement to the tangent space of the embeddable deformations. In spite of this, we show that the CR 3-sphere does not admit nontrivial obstruction flat deformations, embeddable or nonembeddable.

A Relative Index on the Space of Embeddable CR-Structures, I

1998 ◽  
Vol 147 (1) ◽  
pp. 1 ◽  
Author(s):  
Charles L. Epstein
Keyword(s):  
Relative Index ◽  
Cr Structures
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