Some Results on Radical Screen Transversal Lightlike Submanifold of an Indefinite Kaehler Norden Manifold

In this paper, we introduce the notion of radical screen transversal and screen transversal anti-invariant lightlike submanifolds of an indefinite Kaehler Norden manifold. We investigate the geometry of distributions involved and obtain necessary and sufficient conditions for the induced connection on radical screen transversal and screen transversal antiinvariant lightlike submanifolds to be metric connection. Further, we provide the necessary and sufficient conditions for foliations determined by above distributions to be totally geodesic on radical screen transversal lightlike submanifold of an indefinite Kaehler Norden manifold.

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Publication Details

Journal
International Journal for Research in Applied Science and Engineering Technology
Published
2025-06-16
DOI
https://doi.org/10.22214/ijraset.2025.72516
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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article

Some Results on Radical Screen Transversal Lightlike Submanifold of an Indefinite Kaehler Norden Manifold

Anu Devgan
International Journal for Research in Applied Science and Engineering Technology
Geometric Analysis and Curvature Flows
article

Some Results on Radical Screen Transversal Lightlike Submanifold of an Indefinite Kaehler Norden Manifold

Anu Devgan
article en

Abstract

In this paper, we introduce the notion of radical screen transversal and screen transversal anti-invariant lightlike submanifolds of an indefinite Kaehler Norden manifold. We investigate the geometry of distributions involved and obtain necessary and sufficient conditions for the induced connection on radical screen transversal and screen transversal antiinvariant lightlike submanifolds to be metric connection. Further, we provide the necessary and sufficient conditions for foliations determined by above distributions to be totally geodesic on radical screen transversal lightlike submanifold of an indefinite Kaehler Norden manifold.

International Journal for Research in Applied Science and Engineering TechnologyVol. 13(6)
Openalex Percentile: Top 80%
Geometric Analysis and Curvature Flows
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