4.3 Article

Radical transversal screen slant lightlike submersions from indefinite Sasakian manifolds onto lightlike manifolds

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WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219887824500312

Keywords

Lightlike manifold; indefinite Sasakian manifold; radical transversal screen slant lightlike submersion; radical transversal screen semi-slant lightlike submersion

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In this paper, the concept of radical transversal screen slant lightlike submersions from indefinite Sasakian manifolds onto lightlike manifolds is introduced and studied. The existence theorem, as well as the geometry of the involved distributions, is studied. Additionally, the notion of radical transversal screen semi-slant lightlike submersions is defined, and a characterization theorem is proved. The integrability and totally geodesic foliations of distributions on a fiber of these lightlike submersions are also studied.
In this paper, we introduce the notion of radical transversal screen slant lightlike submersions from indefinite Sasakian manifolds onto lightlike manifolds with examples. We obtain an existence theorem and study the geometry of distributions involved in the definition. Moreover, we define the notion of radical transversal screen semi-slant lightlike submersions with examples and prove a characterization theorem. We also study the integrability and totally geodesic foliations of distributions on a fiber of these lightlike submersions.

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