ON 3-DIMENSIONAL ($\epsilon$,$\delta$)-TRANS-SASAKIAN STRUCTURE

Trans-sasakian Manifolds

The object of the present paper is to study the extended generalized φ-recurrent trans-Sasakian manifold and its various geometric properties.

On a Type of Trans-sasakian Manifolds

The object of the present paper is to study 3-dimensional trans-Sasakian manifolds admitting a W2-curvature tensor. Trans-Sasakian manifolds satisfying the curvature condition S(X, ξ).R = 0 is also considered.

On Generalized Recurrent and Ricci Recurrent Lorentzian Trans-Sasakian Manifolds

The purpose of the paper is to introduce the notion of generalized recurrent Lorentzian transSasakian manifold and study some of the properties of generalized recurrent and Ricci recurrent Lorentzian Trans-Sasakian manifolds.

Cr-submanifolds of a Nearly Trans-sasakian Manifold

Half Lightlike Submanifolds of an Indefinite Trans-sasakian Manifold

We study half lightlike submanifold M of an indefinite transSasakian manifold such that its structure vector field is tangent to M . First we study the general theory for such half lightlike submanifolds. Next we prove some characterization theorems for half lightlike submanifolds of an indefinite generalized Sasakian space form.