A smooth regularity theorem for nondegenerate CR-mappings

Details A smooth regularity theorem for nondegenerate CR-mappings A smooth regularity theorem for nondegenerate CR-mappings

2000-12-03

arxiv.org/abs/math/0012010v1

Monatsh. Math. 142 (2004), no. 4, 315-326

Mathematics

Complex Variables

AMS-LaTeX, 11 pages

Scientific paper

We prove the following regularity result: If M and M' are smooth generic
submanifolds of C^N and C^N' respectively, where N and N' are not necessarily
equal, and if M is minimal, then every C^k-CR-map from M into M^\prime which is
k-nondegenerate is smooth. As an application, every CR diffeomorphism of
k-nondegenerate minimal submanifolds in C^N of class C^k is smooth.

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