Tangent Bundles Endowed with Quarter-Symmetric Non-Metric Connection (QSNMC) in a Lorentzian Para-Sasakian Manifold
The purpose of the present paper is to study the complete lifts of a QSNMC from an LP-Sasakian manifold to its tangent bundle. The lifts of the curvature tensor, Ricci tensor, projective Ricci tensor, and lifts of Einstein manifold endowed with QSNMC in an LP-Sasakian manifold to its tangent bundle...
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MDPI AG
2023-10-01
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| Online Access: | https://www.mdpi.com/2227-7390/11/19/4163 |
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| author | Rajesh Kumar Lalnunenga Colney Samesh Shenawy Nasser Bin Turki |
| author_facet | Rajesh Kumar Lalnunenga Colney Samesh Shenawy Nasser Bin Turki |
| author_sort | Rajesh Kumar |
| collection | DOAJ |
| description | The purpose of the present paper is to study the complete lifts of a QSNMC from an LP-Sasakian manifold to its tangent bundle. The lifts of the curvature tensor, Ricci tensor, projective Ricci tensor, and lifts of Einstein manifold endowed with QSNMC in an LP-Sasakian manifold to its tangent bundle are investigated. Necessary and sufficient conditions for the lifts of the Ricci tensor to be symmetric and skew-symmetric and the lifts of the projective Ricci tensor to be skew-symmetric in the tangent bundle are given. An example of complete lifts of four-dimensional LP-Sasakian manifolds in the tangent bundle is shown. |
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| format | Article |
| id | doaj.art-c99f90e730dd48b1b4536ddf53072db6 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T21:40:10Z |
| publishDate | 2023-10-01 |
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| spelling | doaj.art-c99f90e730dd48b1b4536ddf53072db62023-11-19T14:44:12ZengMDPI AGMathematics2227-73902023-10-011119416310.3390/math11194163Tangent Bundles Endowed with Quarter-Symmetric Non-Metric Connection (QSNMC) in a Lorentzian Para-Sasakian ManifoldRajesh Kumar0Lalnunenga Colney1Samesh Shenawy2Nasser Bin Turki3Department of Mathematics, Pachhunga University College, Mizoram University, Aizawl 796001, IndiaDepartment of Mathematics, Pachhunga University College, Mizoram University, Aizawl 796001, IndiaBasic Science Department, Modern Academy for Engineering and Technology, Maadi 11585, EgyptDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaThe purpose of the present paper is to study the complete lifts of a QSNMC from an LP-Sasakian manifold to its tangent bundle. The lifts of the curvature tensor, Ricci tensor, projective Ricci tensor, and lifts of Einstein manifold endowed with QSNMC in an LP-Sasakian manifold to its tangent bundle are investigated. Necessary and sufficient conditions for the lifts of the Ricci tensor to be symmetric and skew-symmetric and the lifts of the projective Ricci tensor to be skew-symmetric in the tangent bundle are given. An example of complete lifts of four-dimensional LP-Sasakian manifolds in the tangent bundle is shown.https://www.mdpi.com/2227-7390/11/19/4163Lorentzian para-Sasakian manifoldscomplete liftstangent bundlequarter-symmetric non-metric connectionpartial differential equationsmathematical operators |
| spellingShingle | Rajesh Kumar Lalnunenga Colney Samesh Shenawy Nasser Bin Turki Tangent Bundles Endowed with Quarter-Symmetric Non-Metric Connection (QSNMC) in a Lorentzian Para-Sasakian Manifold Mathematics Lorentzian para-Sasakian manifolds complete lifts tangent bundle quarter-symmetric non-metric connection partial differential equations mathematical operators |
| title | Tangent Bundles Endowed with Quarter-Symmetric Non-Metric Connection (QSNMC) in a Lorentzian Para-Sasakian Manifold |
| title_full | Tangent Bundles Endowed with Quarter-Symmetric Non-Metric Connection (QSNMC) in a Lorentzian Para-Sasakian Manifold |
| title_fullStr | Tangent Bundles Endowed with Quarter-Symmetric Non-Metric Connection (QSNMC) in a Lorentzian Para-Sasakian Manifold |
| title_full_unstemmed | Tangent Bundles Endowed with Quarter-Symmetric Non-Metric Connection (QSNMC) in a Lorentzian Para-Sasakian Manifold |
| title_short | Tangent Bundles Endowed with Quarter-Symmetric Non-Metric Connection (QSNMC) in a Lorentzian Para-Sasakian Manifold |
| title_sort | tangent bundles endowed with quarter symmetric non metric connection qsnmc in a lorentzian para sasakian manifold |
| topic | Lorentzian para-Sasakian manifolds complete lifts tangent bundle quarter-symmetric non-metric connection partial differential equations mathematical operators |
| url | https://www.mdpi.com/2227-7390/11/19/4163 |
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