English

On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces

Complex Variables 2007-05-23 v1

Abstract

Let SS be a real-analytic hypersurface in CnC^n or, more generally, a CR-submanifold in a complex manifold ZZ of arbitrary CR-codimension. This paper addresses the question, when a local biholomorphic map between open sets in ZZ sending an open piece of SS into SS extends to a global biholomorphic self-map of ZZ preserving SS. We give answers for a large class of Levi-degenerate group orbits in compact Hermitian symmetric spaces.

Keywords

Cite

@article{arxiv.math/0412526,
  title  = {On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces},
  author = {Wilhelm Kaup and Dmitri Zaitsev},
  journal= {arXiv preprint arXiv:math/0412526},
  year   = {2007}
}