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

Wilhelm Kaup | Zendy; Dmitri Zaitsev | Zendy

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

Author(s) -

Wilhelm Kaup,

Dmitri Zaitsev

Publication year - 2006

Publication title -

journal of the european mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.549

H-Index - 64

eISSN - 1435-9863

pISSN - 1435-9855

DOI - 10.4171/jems/63

Subject(s) - mathematics , hermitian matrix , degenerate energy levels , hermitian symmetric space , pure mathematics , triple system , group (periodic table) , mathematical physics , hermitian manifold , geometry , quantum mechanics , physics , curvature , ricci curvature

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

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