Biharmonic anti-invariant submanifolds in Sasakian space forms.

Arslan, Kadri; Ezentas, Ridvan; Murathan, Cengizhan; Sasahara, Toru

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Multi-helicoidal Euclidean submanifolds of constant sectional curvature.

Ripoll, Jaime, Tojeiro, Ruy (2001)

Beiträge zur Algebra und Geometrie

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On normal CR-submanifolds of S-manifolds

José Cabrerizo, Luis Fernández, Manuel Fernández (1993)

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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...

A classification of certain submanifolds of an S-manifold

José L. Cabrerizo, Luis M. Fernández, Manuel Fernández (1991)

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A classification theorem is obtained for submanifolds with parallel second fundamental form of an 𝑆-manifold whose invariant f-sectional curvature is constant.

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Spacelike submanifolds in indefinite space form $M_{p}^{n + p} (c)$

Yingbo Han (2010)

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In this paper, we get an intrinsic inequality for spacelike submanifolds in indefinite space form $M_{p}^{n + p} (c)$ , $(c > 0)$ . We also get some rigidity theorems for such spacelike submanifolds.