A smooth regularity theorem for nondegenerate CR mappings
- Author(s)
- Bernhard Lamel
- Abstract
We prove the following regularity result: If M ? CN, M' ? CN' are smooth generic submanifolds and M is minimal, then every Ck-CR-map from M into M' which is k-nondegenerate is smooth. As an application, every CR diffeomorphism of k-nondegenerate minimal submanifolds in CN of class Ck is smooth.
- Organisation(s)
- Department of Mathematics
- Journal
- Monatshefte für Mathematik
- Volume
- 142
- Pages
- 315-326
- No. of pages
- 12
- ISSN
- 0026-9255
- Publication date
- 2004
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 1010 Mathematics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/bdab7508-0836-4961-8b6f-a93b9579d31b