JournalsjemsVol. 8, No. 3pp. 465–490

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

  • W. Kaup

    Universität Tübingen, Germany
  • Dmitri Zaitsev

    Trinity College, Dublin, Ireland
On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces cover
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Abstract

We present a large class of homogeneous 22-nondegenerate CR-manifolds MM, both of hypersurface type and of arbitrarily high CR-codimension, with the following property: Every CR-equivalence between domains U,VU,V in MM extends to a global real-analytic CR-automorphism of MM. We show that this class contains GG-orbits in Hermitian symmetric spaces ZZ of compact type, where GG is a real form of the complex Lie group \Aut(Z)0\Aut(Z)^{0} and GG has an open orbit that is a bounded symmetric domain of tube type.

Cite this article

W. Kaup, Dmitri Zaitsev, On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces. J. Eur. Math. Soc. 8 (2006), no. 3, pp. 465–490

DOI 10.4171/JEMS/63