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

Abstract

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