EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 51(65), pp. 115--120 (1992)

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On the classification of totally umbilical CR-submanifolds of a Kaehler manifold

M. A. Bashir

Department of Mathematics, College of Science King Saud University, P.O.Box 2455, Riyadh 11451, Saudi Arabia

Abstract: We show that three-dimensional totally umbilical proper CR-submanifolds of a Kaehler manifold are extrinsic spheres. Thus we extend a classification theorem of these submanifolds for dimension less than five.

Classification (MSC2000): 53C40; 53C55

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition