TY  - JOUR
T1  - Transversal Lightlike Submersions
AU  - Karataş, Esra
AU  - Yıldırım, Cumali
PY  - 2024
DA  - June
Y2  - 2024
DO  - 10.28979/jarnas.1440658
JF  - Journal of Advanced Research in Natural and Applied Sciences
JO  - JARNAS
PB  - Çanakkale Onsekiz Mart University
WT  - DergiPark
SN  - 2757-5195
SP  - 476
EP  - 492
VL  - 10
IS  - 2
LA  - en
AB  - 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.
KW  - Transversal submersion
KW  - Riemannian submersion
KW  - lightlike manifold
KW  - lightlike submersion
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UR  - https://doi.org/10.28979/jarnas.1440658
L1  - https://dergipark.org.tr/en/download/article-file/3743984
ER  -