Screen Semi-Invariant Lightlike Submanifolds of Golden Semi-Riemannian Manifolds

Poyraz, Nergiz (Önen)

doi:10.36890/iejg.893398

Cited by 7 publications

(5 citation statements)

References 16 publications

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“…This section presents lightlike hypersurfaces of Hermite-like manifolds. We define semi-invariant lightlike hypersurfaces inspiring [19][20][21][22][23][24] as follows:…”

Section: Lightlike Hypersurfaces Of Hermite-like Manifoldsmentioning

confidence: 99%

Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds

AKSU,

GÜLBAHAR

2023

Journal of New Theory

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Hermite-like manifolds, which admit two different, almost complex structures, can be considered a general concept of Hermitian manifolds. Factoring in the effects of these two complex structures on the radical, screen, and transversal spaces, a new classification of lightlike hypersurfaces of Hermite-like manifolds is proposed in the present paper. Moreover, an example of screen semi-invariant lightlike hypersurfaces of Hermite-like manifolds is provided. Besides, some results on these hypersurfaces admitting a statistical structure are obtained. Further, screen semi-invariant lightlike hypersurfaces are investigated on Kaehler-like statistical manifolds. In addition, several characteristics of totally geodesic, mixed geodesic, and totally umbilical screen lightlike hypersurfaces are obtained. Finally, the need for further research is discussed.

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“…This section presents lightlike hypersurfaces of Hermite-like manifolds. We define semi-invariant lightlike hypersurfaces inspiring [19][20][21][22][23][24] as follows:…”

Section: Lightlike Hypersurfaces Of Hermite-like Manifoldsmentioning

confidence: 99%

Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds

AKSU,

GÜLBAHAR

2023

Journal of New Theory

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“…Screen pseudo-slant and golden GCR-lightlike submanifolds of a golden semi-Riemannian manifold were studied in ( [1,11]). In [10], N. Onen Poyraz introduced screen semiinvariant lightlike submanifolds of a golden semi-Riemannian manifolds and found the conditions of integrability of distributions. In [10], they proved some results for totally umbilical screen semi-invariant lightlike submanifolds of golden semi-Riemannian manifolds.…”

Section: Introductionmentioning

confidence: 99%

Semi-Slant Lightlike Submanifolds of Golden Semi-Riemannian Manifolds

KUMAR,

YADAV

2024

KgJMat

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The aim of our paper is to introduce the notion of semi-slant lightlike submanifolds of golden semi-Riemannian manifolds. We give non-trivial examples of semi-slant lightlike submanifolds and provide a characterization theorem of such submanifolds. Further, we obtain necessary and suﬃcient conditions for integrability of the distributions and investigate the geometry of the leaves of the foliation determined by the distributions. We also obtain a necessary and suﬃcient condition for the induced connection to be a metric connection. Finally, we obtain necessary and suﬃcient condition for mixed-geodesic semi-slant lightlike submanifold of golden semi-Riemannian manifold.

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“…In golden semi-Riemannian manifolds, Poyraz Önen and Yaşar [18] started lightlike geometry studies by investigating lightlike hypersurfaces, (see also, [21,22]). Recently, half-lightlike submanifolds of golden semi-Riemannian manifolds were investigated by [23].…”

Section: Introductionmentioning

confidence: 99%

Half-Lightlike Submanifolds of Metallic semi-Riemannian Manifolds

Acet

Erdoğan

Perktaş

2022

International Electronic Journal of Geometry

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The aim of the present paper is to study half-lightlike submanifolds of a semi-Riemannian manifold endowed with a metallic structure. We introduce a special half-lightlike submanifold called screen semi-invariant half lightlike submanifold in metallic semi-Riemannian manifolds and give an example. We present necessary and sufficient conditions for the distributions included in the definition of such half lightlike submanifolds to be integrable. Moreover, we analyze geometry of a screen semi-invariant half lightlike submanifold in a locally metallic semi- Riemannian manifold when it is totally geodesic and screen conformal.

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Screen Semi-Invariant Lightlike Submanifolds of Golden Semi-Riemannian Manifolds

Cited by 7 publications

References 16 publications

Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds

Screen Semi-Invariant Lightlike Hypersurfaces on Hermite-Like Manifolds

Semi-Slant Lightlike Submanifolds of Golden Semi-Riemannian Manifolds

Half-Lightlike Submanifolds of Metallic semi-Riemannian Manifolds

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