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arXiv · 1611.09112

Regularity of infinitesimal CR automorphisms

Stefan Fürdös·Bernhard Lamel
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Abstract

We study the regularity of infinitesimal CR automorphisms of abstract CR structures which possess a certain microlocal extension and show that there are smooth multipliers, completely determined by the CR structure, such that if $X$ is such an infinitesimal CR automorphism, then $\lambda X$ is smooth for all multipliers $\lambda$. As an application, we study the regularity of infinitesimal automorphisms of certain embedded hypersurfaces of infinite type.

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Stefan Fürdös, Bernhard Lamel. 2016-11-28. Regularity of infinitesimal CR automorphisms. https://arxiv.org/abs/1611.09112

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