Cr-Submanifolds of a Nearly Lorentzian Para-Sasakian Manifold

On warped product semi invariant submanifolds of nearly (ε,δ)-trans Sasakian manifold

“…Chen initiated the notion of warped product CR submanifolds and established there exists no warped product CR-submanifolds of the form M = E ⊥ × y E P such that E ⊥ is a real submanifold and E P is a holomorphic submanifold of a Kaehler manifoldM so he termed it as warped product CR submanifolds in the form M = E P × y E ⊥ where E P and E ⊥ are holomorphic and totally real submanifolds of a Kaehler mani-foldM [6,7]. In [13], some kinds of warped products were studied. Bejancu and Duggal [2] also used the idea of (ε)-Sasakian manifolds.…”

“…Xufeng and Xiaoli premeditated that these manifolds are real hypersurfaces of indefinite Kahlerian manifolds [14]. Kumar et al in [11] also premeditated the curvature conditions of these manifolds and Tripathi et al in [13] investigated (ε)-almost para contact manifolds. De and Sarkar in [8] also initiated (ε)-Kenmotsu manifolds and premeditated conformally flat, Weyl semisymmetric, φ-recurrent (ε)-Kenmotsu manifolds.…”