On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces
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چکیده
We present a large class of homogeneous 2-nondegenerate CR-manifolds M , both of hypersurface type and of arbitrarily high CR-codimension, with the following property: Every CRequivalence between domains U,V inM extends to a global real-analytic CR-automorphism ofM . We show that this class containsG-orbits in Hermitian symmetric spaces Z of compact type, where G is a real form of the complex Lie group Aut(Z)0 and G has an open orbit that is a bounded symmetric domain of tube type.
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تاریخ انتشار 2006