Transversal Lightlike Submersions
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 b...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Çanakkale Onsekiz Mart University
2024-06-01
|
| Series: | Journal of Advanced Research in Natural and Applied Sciences |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/3743984 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832095378548195328 |
|---|---|
| author | Cumali Yıldırım Esra Karataş |
| author_facet | Cumali Yıldırım Esra Karataş |
| author_sort | Cumali Yıldırım |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-10c6c1e5db7b4220850111052e3a462a |
| institution | Kabale University |
| issn | 2757-5195 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Çanakkale Onsekiz Mart University |
| record_format | Article |
| series | Journal of Advanced Research in Natural and Applied Sciences |
| spelling | doaj-art-10c6c1e5db7b4220850111052e3a462a2025-02-05T18:13:02ZengÇanakkale Onsekiz Mart UniversityJournal of Advanced Research in Natural and Applied Sciences2757-51952024-06-0110247649210.28979/jarnas.1440658453Transversal Lightlike SubmersionsCumali Yıldırım0https://orcid.org/0000-0002-2073-4752Esra Karataş1https://orcid.org/0000-0003-0858-1340INONU UNIVERSITYINONU UNIVERSITYIn 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.https://dergipark.org.tr/en/download/article-file/3743984transversal submersionriemannian submersionlightlike manifoldlightlike submersion |
| spellingShingle | Cumali Yıldırım Esra Karataş Transversal Lightlike Submersions Journal of Advanced Research in Natural and Applied Sciences transversal submersion riemannian submersion lightlike manifold lightlike submersion |
| title | Transversal Lightlike Submersions |
| title_full | Transversal Lightlike Submersions |
| title_fullStr | Transversal Lightlike Submersions |
| title_full_unstemmed | Transversal Lightlike Submersions |
| title_short | Transversal Lightlike Submersions |
| title_sort | transversal lightlike submersions |
| topic | transversal submersion riemannian submersion lightlike manifold lightlike submersion |
| url | https://dergipark.org.tr/en/download/article-file/3743984 |
| work_keys_str_mv | AT cumaliyıldırım transversallightlikesubmersions AT esrakaratas transversallightlikesubmersions |