Some conformal vector fields and conformal Ricci solitons on $N(k)$-contact metric manifolds
The target of this paper is to study $N(k)$-contact metric manifolds with some types of conformal vector fields like $\phi$-holomorphic planar conformal vector fields and Ricci biconformal vector fields. We also characterize $N(k)$-contact metric manifolds allowing conformal Ricci almost soliton. Ob...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Amirkabir University of Technology
2021-02-01
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| Series: | AUT Journal of Mathematics and Computing |
| Subjects: | |
| Online Access: | https://ajmc.aut.ac.ir/article_4246_f1a4780f5b2aef0c04ae137c02360b80.pdf |
| _version_ | 1797307148996182016 |
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| author | Uday De Arpan Sardar Avijit Sarkar |
| author_facet | Uday De Arpan Sardar Avijit Sarkar |
| author_sort | Uday De |
| collection | DOAJ |
| description | The target of this paper is to study $N(k)$-contact metric manifolds with some types of conformal vector fields like $\phi$-holomorphic planar conformal vector fields and Ricci biconformal vector fields. We also characterize $N(k)$-contact metric manifolds allowing conformal Ricci almost soliton. Obtained results are supported by examples. |
| first_indexed | 2024-03-08T00:52:02Z |
| format | Article |
| id | doaj.art-879d55a6279c43028e2959a3b311e162 |
| institution | Directory Open Access Journal |
| issn | 2783-2449 2783-2287 |
| language | English |
| last_indexed | 2024-03-08T00:52:02Z |
| publishDate | 2021-02-01 |
| publisher | Amirkabir University of Technology |
| record_format | Article |
| series | AUT Journal of Mathematics and Computing |
| spelling | doaj.art-879d55a6279c43028e2959a3b311e1622024-02-14T19:37:14ZengAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24492783-22872021-02-0121617110.22060/ajmc.2021.19220.10434246Some conformal vector fields and conformal Ricci solitons on $N(k)$-contact metric manifoldsUday De0Arpan Sardar1Avijit Sarkar2Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata 700019, West Bengal, IndiaDepartment of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata 700019, West Bengal, IndiaDepartment of Mathematics, University of Kalyani, Kalyani 741235, Nadia, West Bengal, IndiaThe target of this paper is to study $N(k)$-contact metric manifolds with some types of conformal vector fields like $\phi$-holomorphic planar conformal vector fields and Ricci biconformal vector fields. We also characterize $N(k)$-contact metric manifolds allowing conformal Ricci almost soliton. Obtained results are supported by examples.https://ajmc.aut.ac.ir/article_4246_f1a4780f5b2aef0c04ae137c02360b80.pdf$n(k)$-contact metric manifolds$\phi$-holomorphic planar conformal vector fieldsconformal vector fieldsconformal ricci solitons |
| spellingShingle | Uday De Arpan Sardar Avijit Sarkar Some conformal vector fields and conformal Ricci solitons on $N(k)$-contact metric manifolds AUT Journal of Mathematics and Computing $n(k)$-contact metric manifolds $\phi$-holomorphic planar conformal vector fields conformal vector fields conformal ricci solitons |
| title | Some conformal vector fields and conformal Ricci solitons on $N(k)$-contact metric manifolds |
| title_full | Some conformal vector fields and conformal Ricci solitons on $N(k)$-contact metric manifolds |
| title_fullStr | Some conformal vector fields and conformal Ricci solitons on $N(k)$-contact metric manifolds |
| title_full_unstemmed | Some conformal vector fields and conformal Ricci solitons on $N(k)$-contact metric manifolds |
| title_short | Some conformal vector fields and conformal Ricci solitons on $N(k)$-contact metric manifolds |
| title_sort | some conformal vector fields and conformal ricci solitons on n k contact metric manifolds |
| topic | $n(k)$-contact metric manifolds $\phi$-holomorphic planar conformal vector fields conformal vector fields conformal ricci solitons |
| url | https://ajmc.aut.ac.ir/article_4246_f1a4780f5b2aef0c04ae137c02360b80.pdf |
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