@article{Curry2021ObstructionFR,
title={Obstruction flat rigidity of the CR 3-sphere},
author={Sean N. Curry and Peter Ebenfelt},
journal={Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal)},
year={2021},
volume={2021},
pages={105 - 126}
}

Journal für die reine und angewandte Mathematik (Crelles Journal)

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… Expand

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A question of principal interest in the theory of compact, three-dimensional CR-manifolds is to understand when a given strictly pseudoconvex, CR-structure can be realized by an embedding in C' . We… Expand

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