Anti-Invariant Lorentzian Submersions From Lorentzian Concircular Structure Manifolds
This research article attempts to investigate anti-invariant Lorentzian submersions and the Lagrangian Lorentzian submersions (LLS) from the Lorentzian concircular structure [in short (LCS)n] manifolds onto semi-Riemannian manifolds with relevant non-trivial examples. It is shown that the horizontal...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2022-02-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2022.812190/full |
| _version_ | 1818498960803758080 |
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| author | M. Danish Siddiqi Meraj A. Khan Amira A. Ishan S. K. Chaubey |
| author_facet | M. Danish Siddiqi Meraj A. Khan Amira A. Ishan S. K. Chaubey |
| author_sort | M. Danish Siddiqi |
| collection | DOAJ |
| description | This research article attempts to investigate anti-invariant Lorentzian submersions and the Lagrangian Lorentzian submersions (LLS) from the Lorentzian concircular structure [in short (LCS)n] manifolds onto semi-Riemannian manifolds with relevant non-trivial examples. It is shown that the horizontal distributions of such submersions are not integrable and their fibers are not totally geodesic. As a result, they can not be totally geodesic maps. Anti-invariant and Lagrangian submersions are also explored for their harmonicity. We illustrate that if the Reeb vector field is horizontal, the anti-invariant and LLS can not be harmonic. |
| first_indexed | 2024-12-10T20:22:39Z |
| format | Article |
| id | doaj.art-0f452b257e4e4d09b31471500818133e |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-12-10T20:22:39Z |
| publishDate | 2022-02-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-0f452b257e4e4d09b31471500818133e2022-12-22T01:34:57ZengFrontiers Media S.A.Frontiers in Physics2296-424X2022-02-011010.3389/fphy.2022.812190812190Anti-Invariant Lorentzian Submersions From Lorentzian Concircular Structure ManifoldsM. Danish Siddiqi0Meraj A. Khan1Amira A. Ishan2S. K. Chaubey3Department of Mathematics, Faculty of Science, Jazan University, Jizan, Saudi ArabiaDepartment of Mathematics, College of Science, University of Tabuk University, Tabuk, Saudi ArabiaDepartment of Mathematics, College of Science, Taif University, Taif, Saudi ArabiaSection of Mathematics, Department of Information Technology, University of Technology and Applied Sciences-Shinas, Muscat, OmanThis research article attempts to investigate anti-invariant Lorentzian submersions and the Lagrangian Lorentzian submersions (LLS) from the Lorentzian concircular structure [in short (LCS)n] manifolds onto semi-Riemannian manifolds with relevant non-trivial examples. It is shown that the horizontal distributions of such submersions are not integrable and their fibers are not totally geodesic. As a result, they can not be totally geodesic maps. Anti-invariant and Lagrangian submersions are also explored for their harmonicity. We illustrate that if the Reeb vector field is horizontal, the anti-invariant and LLS can not be harmonic.https://www.frontiersin.org/articles/10.3389/fphy.2022.812190/full(LCS)n-manifoldsLorentzian submersionanti-invariant Lorentzian submersionLagrangian Lorentzian submersionhorizontal distribution |
| spellingShingle | M. Danish Siddiqi Meraj A. Khan Amira A. Ishan S. K. Chaubey Anti-Invariant Lorentzian Submersions From Lorentzian Concircular Structure Manifolds Frontiers in Physics (LCS)n-manifolds Lorentzian submersion anti-invariant Lorentzian submersion Lagrangian Lorentzian submersion horizontal distribution |
| title | Anti-Invariant Lorentzian Submersions From Lorentzian Concircular Structure Manifolds |
| title_full | Anti-Invariant Lorentzian Submersions From Lorentzian Concircular Structure Manifolds |
| title_fullStr | Anti-Invariant Lorentzian Submersions From Lorentzian Concircular Structure Manifolds |
| title_full_unstemmed | Anti-Invariant Lorentzian Submersions From Lorentzian Concircular Structure Manifolds |
| title_short | Anti-Invariant Lorentzian Submersions From Lorentzian Concircular Structure Manifolds |
| title_sort | anti invariant lorentzian submersions from lorentzian concircular structure manifolds |
| topic | (LCS)n-manifolds Lorentzian submersion anti-invariant Lorentzian submersion Lagrangian Lorentzian submersion horizontal distribution |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2022.812190/full |
| work_keys_str_mv | AT mdanishsiddiqi antiinvariantlorentziansubmersionsfromlorentzianconcircularstructuremanifolds AT merajakhan antiinvariantlorentziansubmersionsfromlorentzianconcircularstructuremanifolds AT amiraaishan antiinvariantlorentziansubmersionsfromlorentzianconcircularstructuremanifolds AT skchaubey antiinvariantlorentziansubmersionsfromlorentzianconcircularstructuremanifolds |