Transversal Lightlike Submersions

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Journal of Advanced Research in Natural and Applied Sciences
Volume:10 Issue:2
Transversal Lightlike Submersions

Transversal Lightlike Submersions

Authors : Esra Karataş, Cumali Yıldırım

Pages : 476-492

Doi:10.28979/jarnas.1440658

View : 55 | Download : 56

Publication Date : 2024-06-25

Article Type : Research Paper

Abstract :In this paper, we introduce the concept of transversal lightlike submersions from semi-Riemannian manifolds onto semi-Riemannian manifolds. Specifically, we present the concepts of transversal r-lightlike and isotropic transversal lightlike submersions and examine the geometry of foliations formed by these submersions through various examples. In this way, we demonstrate certain points where transversal r-lightlike submersions differ from semi-Riemannian submersions. Furthermore, we investigate O’Neill’s tensors for transversal r-lightlike submersions and examine the integrability of certain distributions by employing these tensor fields. Thus, valuable information regarding such submersions’ geometric structures and properties can be provided, paving the way for new research avenues. We finally discuss the need for further research.
Keywords : Transversal submersion, Riemannian submersion, lightlike manifold, lightlike submersion

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