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

Year 2024, Volume: 17 Issue: 2, 437 - 446, 27.10.2024

Shiv Sharma Shukla , Vipul Singh

https://doi.org/10.36890/iejg.1393446

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.

Keywords

Lightlike manifold, indefinite Sasakian manifold, screen pseudo-slant lightlike submersion.

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