Generalized Sasakian-space-forms with a contact conformal curvature tensor
The present paper deals with the study of generalized Sasakian-space-forms. We show that the Ricci operator commutes with φ. The necessary and sufficient conditions for the Ricci and φ-contact conformally flat generalized Sasakian-space-forms are proved. We validate our results by providing a non-tr...
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| Format: | Article |
| Language: | English |
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University Constantin Brancusi of Targu-Jiu
2025-04-01
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| Series: | Surveys in Mathematics and its Applications |
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| Online Access: | https://www.utgjiu.ro/math/sma/v20/p20_11.pdf |
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| _version_ | 1850182578044141568 |
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| author | Sudhakar Kumar Chaubey Sunil Yadav Mehmet Akif Akyol |
| author_facet | Sudhakar Kumar Chaubey Sunil Yadav Mehmet Akif Akyol |
| author_sort | Sudhakar Kumar Chaubey |
| collection | DOAJ |
| description | The present paper deals with the study of generalized Sasakian-space-forms. We show that the Ricci operator commutes with φ. The necessary and sufficient conditions for the Ricci and φ-contact conformally flat generalized Sasakian-space-forms are proved. We validate our results by providing a non-trivial example of a generalized Sasakian-space-form. |
| format | Article |
| id | doaj-art-20e18ff7779d49b9bb6e1264d490bce9 |
| institution | OA Journals |
| issn | 1843-7265 1842-6298 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | University Constantin Brancusi of Targu-Jiu |
| record_format | Article |
| series | Surveys in Mathematics and its Applications |
| spelling | doaj-art-20e18ff7779d49b9bb6e1264d490bce92025-08-20T02:17:35ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982025-04-0120 (2025)217233Generalized Sasakian-space-forms with a contact conformal curvature tensor Sudhakar Kumar Chaubey0Sunil Yadav1 Mehmet Akif Akyol2Section of Mathematics, Department of Information Technology, College of Computing and Information Sciences, University of Technology and Applied Sciences, Shinas - 324, Oman.Department of Applied Science and Humanities, United College of Engineering & Research, A-31 UPSIDC Industrial Areas, U.P., India.Uşak University, Faculty of Engineering and Natural Sciences, Department of Mathematics, 64, Uşak, Türkiye.The present paper deals with the study of generalized Sasakian-space-forms. We show that the Ricci operator commutes with φ. The necessary and sufficient conditions for the Ricci and φ-contact conformally flat generalized Sasakian-space-forms are proved. We validate our results by providing a non-trivial example of a generalized Sasakian-space-form. https://www.utgjiu.ro/math/sma/v20/p20_11.pdfsasakian manifoldsgeneralized sasakian-space-formscontact conformal curvature tensor |
| spellingShingle | Sudhakar Kumar Chaubey Sunil Yadav Mehmet Akif Akyol Generalized Sasakian-space-forms with a contact conformal curvature tensor Surveys in Mathematics and its Applications sasakian manifolds generalized sasakian-space-forms contact conformal curvature tensor |
| title | Generalized Sasakian-space-forms with a contact conformal curvature tensor |
| title_full | Generalized Sasakian-space-forms with a contact conformal curvature tensor |
| title_fullStr | Generalized Sasakian-space-forms with a contact conformal curvature tensor |
| title_full_unstemmed | Generalized Sasakian-space-forms with a contact conformal curvature tensor |
| title_short | Generalized Sasakian-space-forms with a contact conformal curvature tensor |
| title_sort | generalized sasakian space forms with a contact conformal curvature tensor |
| topic | sasakian manifolds generalized sasakian-space-forms contact conformal curvature tensor |
| url | https://www.utgjiu.ro/math/sma/v20/p20_11.pdf |
| work_keys_str_mv | AT sudhakarkumarchaubey generalizedsasakianspaceformswithacontactconformalcurvaturetensor AT sunilyadav generalizedsasakianspaceformswithacontactconformalcurvaturetensor AT mehmetakifakyol generalizedsasakianspaceformswithacontactconformalcurvaturetensor |