Geodesic
On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces
Journal of the European Mathematical Society, Tome 8 (2006) no. 3, pp. 465-490 Cet article a éte moissonné depuis la source EMS Press

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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.
DOI : 10.4171/jems/63
Classification : 57-XX, 00-XX
Keywords: Hermitian symmetric spaces, tube domains, Jordan algebras, CR-equivalence problems, 2-nondegenerate CR-manifolds 
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     author = {W. Kaup and Dmitri Zaitsev},
     title = {On local {CR-transformations} of {Levi-degenerate} group orbits in compact {Hermitian} symmetric spaces},
     journal = {Journal of the European Mathematical Society},
     pages = {465--490},
     year = {2006},
     volume = {8},
     number = {3},
     doi = {10.4171/jems/63},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/63/}
}
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W. Kaup; Dmitri Zaitsev. On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces. Journal of the European Mathematical Society, Tome 8 (2006) no. 3, pp. 465-490. doi: 10.4171/jems/63

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