Obstruction flat rigidity of the CR 3-sphere

@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}
}
  • Sean N. Curry, P. Ebenfelt
  • Published 2 April 2021
  • Mathematics
  • 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… 
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