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

Kaup, Wilhelm, and Zaitsev, Dmitri. "On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces." Journal of the European Mathematical Society 008.3 (2006): 465-490. <http://eudml.org/doc/277555>.

@article{Kaup2006,
abstract = {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 $\operatorname\{Aut\}(Z)^0$ and $G$ has an open orbit that is a bounded symmetric domain of tube type.},
author = {Kaup, Wilhelm, Zaitsev, Dmitri},
journal = {Journal of the European Mathematical Society},
keywords = {Hermitian symmetric spaces; tube domains; Jordan algebras; CR-equivalence problems; $2$-nondegenerate CR-manifolds; Hermitian symmetric space; tube domain; Jordan algebra; 2-nondegenerate CR-manifold},
language = {eng},
number = {3},
pages = {465-490},
publisher = {European Mathematical Society Publishing House},
title = {On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces},
url = {http://eudml.org/doc/277555},
volume = {008},
year = {2006},
}

TY - JOUR
AU - Kaup, Wilhelm
AU - Zaitsev, Dmitri
TI - On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces
JO - Journal of the European Mathematical Society
PY - 2006
PB - European Mathematical Society Publishing House
VL - 008
IS - 3
SP - 465
EP - 490
AB - 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 $\operatorname{Aut}(Z)^0$ and $G$ has an open orbit that is a bounded symmetric domain of tube type.
LA - eng
KW - Hermitian symmetric spaces; tube domains; Jordan algebras; CR-equivalence problems; $2$-nondegenerate CR-manifolds; Hermitian symmetric space; tube domain; Jordan algebra; 2-nondegenerate CR-manifold
UR - http://eudml.org/doc/277555
ER -