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Mathematische Zeitschrift

, Volume 274, Issue 1–2, pp 117–144 | Cite as

Some regularity theorems for CR mappings

  • G. P. BalakumarEmail author
  • Kaushal Verma
Article
  • 159 Downloads

Abstract

The purpose of this article is to study Lipschitz CR mappings from an h-extendible (or semi-regular) hypersurface in \({\mathbb{C}^n}\). Under various assumptions on the target hypersurface, it is shown that such mappings must be smooth. A rigidity result for proper holomorphic mappings from strongly pseudoconvex domains is also proved.

Keywords

CR map Finite type Scaling method Segre varieties 

Mathematics Subject Classification (1991)

Primary 32H40 Secondary 32Q45 32V10 

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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of ScienceBangaloreIndia

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