Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 45, No. 2, pp. 401-414 (2004)
|
|
Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 45, No. 2, pp. 401-414 (2004) |
|
|
On extrinsic symmetric CR-structures on the manifolds of complete flagsAlicia N. García and Cristián U. SánchezFa. M. A. F., Universidad Nacional de Córdoba, 5000, Córdoba, Argentina, e-mail: agarcia@mate.uncor.edu e-mail: csanchez@mate.uncor.eduAbstract: In the present paper we study extrinsic symmetric CR-structures on the manifolds of complete flags $G_{u}/T$ relating some of them with the inner symmetric spaces $G_{u}/K.$ We show that the maximum possible CR-dimension of any extrinsic symmetric CR-manifold $G_{u}/T$ cannot be larger than half the maximal dimension of the inner symmetric spaces $G_{u}/K.$ The CR-dimension can be this number and in this case, the holomorphic tangent space is the tangent space of $G_{u}/K$ (at some point). Classification (MSC2000): 32V30, 53C30, 53C35, 53C55 Full text of the article:
Electronic version published on: 9 Sep 2004. This page was last modified: 4 May 2006.
© 2004 Heldermann Verlag
|