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arXiv · 1408.6711

On the analyticity of CR-diffeomorphisms

Ilya Kossovskiy·Bernhard Lamel
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Abstract

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.

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Ilya Kossovskiy, Bernhard Lamel. 2014-08-28. On the analyticity of CR-diffeomorphisms. https://arxiv.org/abs/1408.6711

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