Screen Pseudo-Slant Lightlike Submersions from Indefinite Sasakian Manifolds onto Lightlike Manifolds

As a generalization of screen slant lightlike submersions, we introduce the notion of screen pseudo-slant lightlike submersions from indefinite Sasakian manifolds onto lightlike manifolds. We give examples and prove a characterization theorem for the existence of such lightlike submersions. We also obtain integrability conditions of distributions involved in the definition of this class of lightlike submersions. Further, we find necessary and sufficient conditions for foliations determined by these distributions to be totally geodesic.

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Publication Details

Journal
International Electronic Journal of Geometry
Published
2024-09-19
DOI
https://doi.org/10.36890/iejg.1393446
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00
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article

Screen Pseudo-Slant Lightlike Submersions from Indefinite Sasakian Manifolds onto Lightlike Manifolds

Vipul Singh, S. S. Shukla
International Electronic Journal of Geometry
Geometric Analysis and Curvature Flows
article

Screen Pseudo-Slant Lightlike Submersions from Indefinite Sasakian Manifolds onto Lightlike Manifolds

Vipul Singh, S. S. Shukla
article en

Abstract

As a generalization of screen slant lightlike submersions, we introduce the notion of screen pseudo-slant lightlike submersions from indefinite Sasakian manifolds onto lightlike manifolds. We give examples and prove a characterization theorem for the existence of such lightlike submersions. We also obtain integrability conditions of distributions involved in the definition of this class of lightlike submersions. Further, we find necessary and sufficient conditions for foliations determined by these distributions to be totally geodesic.

International Electronic Journal of GeometryVol. 17(2)
University of Allahabad (IN)
Openalex Percentile: Top 73%
Geometric Analysis and Curvature Flows
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