Ilya Kossovskiy, Bernhard Lamel
Published 2014-08-28Version 1
In any positive CR-dimension and CR-codimension we provide a construction of real-analytic holomorphically nondegenerate CR-submanifolds, which are $C^\infty$ CR-equivalent, but are inequivalent holomorphically. As a corollary, we provide the negative answer to the conjecture of Ebenfelt and Huang \cite{eh} on the analyticity of CR-equivalences between real-analytic Levi nonflat hypersurfaces in dimension 2.
Comments: arXiv admin note: text overlap with arXiv:1309.6799
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