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Displaying similar documents to “Warped product submanifolds in quaternion.”

On normal CR-submanifolds of S-manifolds

José Cabrerizo, Luis Fernández, Manuel Fernández (1993)

Colloquium Mathematicae

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Many authors have studied the geometry of submanifolds of Kaehlerian and Sasakian manifolds. On the other hand, David E. Blair has initiated the study of S-manifolds, which reduce, in particular cases, to Sasakian manifolds ([1, 2]). I. Mihai ([8]) and L. Ornea ([9]) have investigated CR-submanifolds of S-manifolds. The purpose of the present paper is to study a special kind of such submanifolds, namely the normal CR-submanifolds. In Sections 1 and 2, we review basic formulas and definitions...

Contact CR-submanifolds with parallel mean curvature vector of a Sasakian space form

U-Hang Ki, Masahiro Kon (1993)

Colloquium Mathematicae

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The purpose of this paper is to study contact CR-submanifolds with nonvanishing parallel mean curvature vector immersed in a Sasakian space form. In §1 we state general formulas on contact CR-submanifolds of a Sasakian manifold, especially those of a Sasakian space form. §2 is devoted to the study of contact CR-submanifolds with nonvanishing parallel mean curvature vector and parallel f-structure in the normal bundle immersed in a Sasakian space form. Moreover, we suppose that the second...