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

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

2004-12-29

arxiv.org/abs/math/0412526v1

Mathematics

Complex Variables

Scientific paper

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

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