On Semi-Invariant Submanifolds of a Nearly Lorentzian Para-Sasakian Manifold

Rahman, Shamsur; Jun, Jae-Bok; Ahmad, Arjumand

doi:10.17654/fjmsmar2015_709_724

Cited by 1 publication

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“…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.…”

Section: Introductionmentioning

confidence: 99%

“…In [12], the authors initiated and premeditated CR submanifolds and CR structure of a CR-submanifold of nearly (ε, δ)-trans-Sasakian structures and, thus, those of Sasakian manifolds. In [2,14,16 ], some properties of semi-invariant submanifolds were studied. The aim of the paper is to inquest the concept of warped product semi-invariant submanifolds of a nearly (ε, δ)-trans-Sasakian manifold.…”

Section: Introductionmentioning

confidence: 99%

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

Rahman

Kumar

Raira³

et al. 2020

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In this paper, we have concentrated on the inquest of warped product semi-invariant submanifolds of a nearly (ε, δ)-trans-Sasakian manifold. Firstly, some properties of this structure are acquired. Further, we established the warped product of the type E ⊥ × y E P is a usual Riemannian product of E ⊥ and E P , where E ⊥ and E P are anti-invariant and invariant submanifolds of a nearly (ε, δ)-trans-Sasakian manifoldM , respectively. Also, we explored the warped product of the type E P × y E ⊥ and acquired a depiction for such type of warped product.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%