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

• Autores: Wilhelm Kaup, D. Zaitsev
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 8, Nº 3, 2006, págs. 465-490
• Idioma: inglés
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• Resumen

  • 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 CR-equivalence between domains $U,V$ in $M$ extends to a global real-analytic CR-automorphism of $M$. We show that this class contains $G$-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.