EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 42(56), pp. 123--129 (1987)

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COMPLEX HYPERSURFACES OF A GENERALIZED HOPF MANIFOLD

S. Ianus, K. Matsumoto and L. Ornea

Faculty of Mathematics, 14 Academie, Bucharest, 70109 Romania and Department of Mathematics, Faculty of Education, Yamagata University, Japan

Abstract: We study complex hypersurfaces of a generalized Hopf manifold (g.H.m.) using the second fundamental form and structure equations. When the ambient manifold is conformally-flat ($\Cal P_0K$-manifold) we obtain some results about the curvature of complex submanifolds and their stability with respect to normal variations.

Classification (MSC2000): 53b25

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