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 and has an open orbit that is a bounded symmetric domain of tube type.
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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. 465–490DOI 10.4171/JEMS/63