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

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.

Automated summary

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.