EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 44(58), pp. 97--108 (1988)

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CONDITIONS ON THE CONHARMONIC CURVATURE TENSOR OF KAEHLER HYPERSURFACES IN COMPLEX SPACE FORMS

M. Djori\'c, M. Petrovi\'c-Torgasev and L. Verstraelen

Prirodno-matematicki fakultet, Kragujevac, Yugoslavia and Katholieke Universiteit Leuven, Department Wiskunde, Celestijnenlean 200B, B-3030, Leuven, Belgie

Abstract: Among all Kaehler hypersurfaces of complex space forms, we characterize the complex linear hyperplanes, the complex hypercylindes in the complex Euclidean spaces and the complex hyperquadrics in the complex projective spaces, in terms of some intrinsic curvature conditions which all involve the conharmonic curvature tensor of these hypersurfaces.

Classification (MSC2000): 53C25, 53C40, 33C55

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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