Versal embeddings of compact, regular 3-pseudoconcave CR submanifolds

Peter Polyakov

Versal embeddings of compact, regular 3-pseudoconcave CR submanifolds

Complex Variables 2007-05-23 v1

Authors: Peter Polyakov

Abstract

We prove that for an induced CR structure on a compact, generic, regular 3-pseudoconcave CR submanifold ${\bold M}\subset{\bold G}$ , of a complex manifold ${\bold G}$ , satisfying condition $\dim H^1({\bold M}, T^{\prime}({\bold G})|_{\bold M})=0$ all the close CR structures are induced by close embeddings.

Cite

@article{arxiv.math/0109181,
  title  = {Versal embeddings of compact, regular 3-pseudoconcave CR submanifolds},
  author = {Peter Polyakov},
  journal= {arXiv preprint arXiv:math/0109181},
  year   = {2007}
}

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32 pages

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