Hemi-Slant Submanifold of (LCS)n-Manifold

Characterization of a Slant Submanifold of a Kenmotsu Manifold

Recently, we have studied and obtained some results on slant submanifolds of Kenmotsu manifolds [9, 10]. In this paper we study the slant submanifold of a Kenmotsu manifold when structure tensor field φ is Killing and obtain some interesting results. AMS Mathematics Subject Classification (2000): 53C25, 53C40

Totally Umbilical Hemi-Slant Submanifolds of Kaehler Manifolds

and Applied Analysis 3 in the normal bundle T⊥M, and AN is the shape operator of the second fundamental form. Moreover, we have g ANX, Y g h X,Y ,N , 2.4 where g denotes the Riemannian metric onM as well as the metric induced onM. The mean curvature vector H on M is given by

Thin Position of a Pair (3-manifold, 1-submanifold)

We introduce the notions of Heegaard splittings and thin multiple Heegaard splittings of 1-submanifolds in compact orientable 3-manifolds, which are generalizations of those of bridge decompositions and thin positions. We show that either a thin multiple Heegaard splitting of 1-submanifold T is also a Heegaard splitting with minimal complexity or the exterior of T contains an essential surface ...

Semi-Slant Warped Product Submanifolds of a Kenmotsu Manifold

Skew-symmetric vector fields on a CR-submanifold of a para-Kählerian manifold

We deal with a CR-submanifold M of a para-Kählerian manifold M, which carries a J-skew-symmetric vector field X. It is shown that X defines a global Hamiltonian of the symplectic form Ω on M and JX is a relative infinitesimal automorphism of Ω. Other geometric properties are given. 1. Introduction. CR-submanifolds M of some pseudo-Riemannian manifolds M have been first investigated by Rosca [10...