On A Semi-symmetric Non-metric Connection In An Indefinite Para Sasakian Manifold

Pandey, Shashikant; Pandey, Giteshwari; Tiwari, Kiran; Singh, R. N.

doi:10.22436/jmcs.012.02.08

Cited by 3 publications

(2 citation statements)

References 7 publications

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“…Mihai [15] introduced the same notion independently and obtained several results. The Lorentzian Sasakian manifolds has also been studied in detail by Sato [19], Matsumoto, Mihai [15], De & Shaikh [7] and many others in [3], [17] and [18]. Some interesting results were obtained for conformally recurrent and conformally symmetric P-Sasakian manifold in [1].…”

Section: Introductionmentioning

confidence: 99%

Some geometric properties on Lorentzian Sasakian manifolds

2023

RNA

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The objective of the present paper is to study and investigate the geometric properties of Concircular curvature tensor on a Lorentzian Sasakian manifold (in short LS-manifold) endowed with the quartersymmetric non metric connection. This research is also supported with an example that satisfies the conditions of -Concircularly flat and ϒ -Concircularly flat Lorentzian Sasakian manifold endowed with the quarter-symmetric non metric connection.

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Section: Introductionmentioning

confidence: 99%

Some geometric properties on Lorentzian Sasakian manifolds

2023

RNA

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“…In 2014, S.K. Pandey et al [19] studied semi-symmetric non-metric connection in an indefinite para-Sasakian manifold. They obtained the relation between the semi-symmetric non-metric connection and Levi-Civita connection in an indefinite para-Sasakian manifold.…”

Section: Introductionmentioning

confidence: 99%

Lightlike hypersurfaces of an (ε)-para Sasakian manifold with a semi-symmetric non-metric connection

Erdoğan¹,

Perktaş²

2018

Filomat

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In the present paper, we study a lightlike hypersurface, when the ambient manifold is an (ε)-para Sasakian manifold endowed with a semi-symmetric non-metric connection. We obtain a condition for such a lightlike hypersurface to be totally geodesic. We define invariant and screen semi-invariant lightlike hypersurfaces of (ε)-para Sasakian manifolds with a semi-symmetric non-metric connection. Also, we obtain integrability conditions for the distributions D ⊥ δ and D ⊥ δ of a screen semi-invariant lightlike hypersurface of an (ε)-para Sasakian manifolds with a semi-symmetric non-metric connection.

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