An investigation on the existence of warped product irrotational screen-real lightlike submanifolds of metallic semi-Riemannian manifolds
Purpose – The purpose of this paper is to study the geometry of screen real lightlike submanifolds of metallic semi-Riemannian manifolds. Also, the authors investigate whether these submanifolds are warped product lightlike submanifolds or not. Design/methodology/approach – The paper is design as fo...
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| Format: | Article |
| Language: | English |
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Emerald Publishing
2022-06-01
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| Series: | Arab Journal of Mathematical Sciences |
| Subjects: | |
| Online Access: | https://www.emerald.com/insight/content/doi/10.1108/AJMS-09-2020-0060/full/pdf |
| _version_ | 1797791667533643776 |
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| author | Gauree Shanker Ankit Yadav |
| author_facet | Gauree Shanker Ankit Yadav |
| author_sort | Gauree Shanker |
| collection | DOAJ |
| description | Purpose – The purpose of this paper is to study the geometry of screen real lightlike submanifolds of metallic semi-Riemannian manifolds. Also, the authors investigate whether these submanifolds are warped product lightlike submanifolds or not. Design/methodology/approach – The paper is design as follows: In Section 3, the authors introduce screen-real lightlike submanifold of metallic semi Riemannian manifold. In Section 4, the sufficient conditions for the radical and screen distribution of screen-real lightlike submanifolds, to be integrable and to be have totally geodesic foliation, have been established. Furthermore, the authors investigate whether these submanifolds can be written in the form of warped product lightlike submanifolds or not. Findings – The geometry of the screen-real lightlike submanifolds has been studied. Also various results have been established. It has been proved that there does not exist any class of irrotational screen-real r-lightlike submanifold such that it can be written in the form of warped product lightlike submanifolds. Originality/value – All results are novel and contribute to further study on lightlike submanifolds of metallic semi-Riemannian manifolds. |
| first_indexed | 2024-03-13T02:22:07Z |
| format | Article |
| id | doaj.art-8c5bafcfcdc842958383ef367c77ce41 |
| institution | Directory Open Access Journal |
| issn | 1319-5166 2588-9214 |
| language | English |
| last_indexed | 2024-03-13T02:22:07Z |
| publishDate | 2022-06-01 |
| publisher | Emerald Publishing |
| record_format | Article |
| series | Arab Journal of Mathematical Sciences |
| spelling | doaj.art-8c5bafcfcdc842958383ef367c77ce412023-06-30T09:18:56ZengEmerald PublishingArab Journal of Mathematical Sciences1319-51662588-92142022-06-0128214215110.1108/AJMS-09-2020-0060An investigation on the existence of warped product irrotational screen-real lightlike submanifolds of metallic semi-Riemannian manifoldsGauree Shanker0Ankit Yadav1Department of Mathematics and Statistics, Central University of Punjab, Bathinda, IndiaDepartment of Mathematics and Statistics, Central University of Punjab, Bathinda, IndiaPurpose – The purpose of this paper is to study the geometry of screen real lightlike submanifolds of metallic semi-Riemannian manifolds. Also, the authors investigate whether these submanifolds are warped product lightlike submanifolds or not. Design/methodology/approach – The paper is design as follows: In Section 3, the authors introduce screen-real lightlike submanifold of metallic semi Riemannian manifold. In Section 4, the sufficient conditions for the radical and screen distribution of screen-real lightlike submanifolds, to be integrable and to be have totally geodesic foliation, have been established. Furthermore, the authors investigate whether these submanifolds can be written in the form of warped product lightlike submanifolds or not. Findings – The geometry of the screen-real lightlike submanifolds has been studied. Also various results have been established. It has been proved that there does not exist any class of irrotational screen-real r-lightlike submanifold such that it can be written in the form of warped product lightlike submanifolds. Originality/value – All results are novel and contribute to further study on lightlike submanifolds of metallic semi-Riemannian manifolds.https://www.emerald.com/insight/content/doi/10.1108/AJMS-09-2020-0060/full/pdfMetallic semi-Riemannian manifoldsWarped product lightlike submanifoldsIrrotational lightlike submanifolds |
| spellingShingle | Gauree Shanker Ankit Yadav An investigation on the existence of warped product irrotational screen-real lightlike submanifolds of metallic semi-Riemannian manifolds Arab Journal of Mathematical Sciences Metallic semi-Riemannian manifolds Warped product lightlike submanifolds Irrotational lightlike submanifolds |
| title | An investigation on the existence of warped product irrotational screen-real lightlike submanifolds of metallic semi-Riemannian manifolds |
| title_full | An investigation on the existence of warped product irrotational screen-real lightlike submanifolds of metallic semi-Riemannian manifolds |
| title_fullStr | An investigation on the existence of warped product irrotational screen-real lightlike submanifolds of metallic semi-Riemannian manifolds |
| title_full_unstemmed | An investigation on the existence of warped product irrotational screen-real lightlike submanifolds of metallic semi-Riemannian manifolds |
| title_short | An investigation on the existence of warped product irrotational screen-real lightlike submanifolds of metallic semi-Riemannian manifolds |
| title_sort | investigation on the existence of warped product irrotational screen real lightlike submanifolds of metallic semi riemannian manifolds |
| topic | Metallic semi-Riemannian manifolds Warped product lightlike submanifolds Irrotational lightlike submanifolds |
| url | https://www.emerald.com/insight/content/doi/10.1108/AJMS-09-2020-0060/full/pdf |
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