Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 45, No. 2, pp. 401414 (2004) 

On extrinsic symmetric CRstructures on the manifolds of complete flagsAlicia N. García and Cristián U. SánchezFa. M. A. F., Universidad Nacional de Córdoba, 5000, Córdoba, Argentina, email: agarcia@mate.uncor.edu email: csanchez@mate.uncor.eduAbstract: In the present paper we study extrinsic symmetric CRstructures 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 CRdimension of any extrinsic symmetric CRmanifold $G_{u}/T$ cannot be larger than half the maximal dimension of the inner symmetric spaces $G_{u}/K.$ The CRdimension 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.
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