Conformal η-Ricci solitons within the framework of indefinite Kenmotsu manifolds
The present paper is to deliberate the class of ϵ-Kenmotsu manifolds which admits conformal η-Ricci soliton. Here, we study some special types of Ricci tensor in connection with the conformal η-Ricci soliton of ϵ-Kenmotsu manifolds. Moving further, we investigate some curvature conditions admitting...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022300?viewType=HTML |
| _version_ | 1828137038505836544 |
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| author | Yanlin Li Dipen Ganguly Santu Dey Arindam Bhattacharyya |
| author_facet | Yanlin Li Dipen Ganguly Santu Dey Arindam Bhattacharyya |
| author_sort | Yanlin Li |
| collection | DOAJ |
| description | The present paper is to deliberate the class of ϵ-Kenmotsu manifolds which admits conformal η-Ricci soliton. Here, we study some special types of Ricci tensor in connection with the conformal η-Ricci soliton of ϵ-Kenmotsu manifolds. Moving further, we investigate some curvature conditions admitting conformal η-Ricci solitons on ϵ-Kenmotsu manifolds. Next, we consider gradient conformal η-Ricci solitons and we present a characterization of the potential function. Finally, we develop an illustrative example for the existence of conformal η-Ricci soliton on ϵ-Kenmotsu manifold. |
| first_indexed | 2024-04-11T18:12:37Z |
| format | Article |
| id | doaj.art-039e6542148d40f9975ca3f3ba5b6091 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-11T18:12:37Z |
| publishDate | 2022-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-039e6542148d40f9975ca3f3ba5b60912022-12-22T04:10:03ZengAIMS PressAIMS Mathematics2473-69882022-01-01745408543010.3934/math.2022300Conformal η-Ricci solitons within the framework of indefinite Kenmotsu manifoldsYanlin Li0Dipen Ganguly1Santu Dey2Arindam Bhattacharyya31. School of Mathematics, Hangzhou Normal University, Hangzhou, 311121, China2. Department of Mathematics, Jadavpur University, Kolkata 700032, India3. Department of Mathematics, Bidhan Chandra College, Asansol-4, West Bengal 713304, India2. Department of Mathematics, Jadavpur University, Kolkata 700032, IndiaThe present paper is to deliberate the class of ϵ-Kenmotsu manifolds which admits conformal η-Ricci soliton. Here, we study some special types of Ricci tensor in connection with the conformal η-Ricci soliton of ϵ-Kenmotsu manifolds. Moving further, we investigate some curvature conditions admitting conformal η-Ricci solitons on ϵ-Kenmotsu manifolds. Next, we consider gradient conformal η-Ricci solitons and we present a characterization of the potential function. Finally, we develop an illustrative example for the existence of conformal η-Ricci soliton on ϵ-Kenmotsu manifold.https://www.aimspress.com/article/doi/10.3934/math.2022300?viewType=HTMLricci solitonconformal ricci solitonconformal η-ricci solitonϵ-kenmotsu manifoldconcircular curvature tensorcodazzi type ricci tensor |
| spellingShingle | Yanlin Li Dipen Ganguly Santu Dey Arindam Bhattacharyya Conformal η-Ricci solitons within the framework of indefinite Kenmotsu manifolds AIMS Mathematics ricci soliton conformal ricci soliton conformal η-ricci soliton ϵ-kenmotsu manifold concircular curvature tensor codazzi type ricci tensor |
| title | Conformal η-Ricci solitons within the framework of indefinite Kenmotsu manifolds |
| title_full | Conformal η-Ricci solitons within the framework of indefinite Kenmotsu manifolds |
| title_fullStr | Conformal η-Ricci solitons within the framework of indefinite Kenmotsu manifolds |
| title_full_unstemmed | Conformal η-Ricci solitons within the framework of indefinite Kenmotsu manifolds |
| title_short | Conformal η-Ricci solitons within the framework of indefinite Kenmotsu manifolds |
| title_sort | conformal η ricci solitons within the framework of indefinite kenmotsu manifolds |
| topic | ricci soliton conformal ricci soliton conformal η-ricci soliton ϵ-kenmotsu manifold concircular curvature tensor codazzi type ricci tensor |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022300?viewType=HTML |
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