Generalized Sasakian Space-Forms with Beta-Kenmotsu Structure and Ricci Solitons
We explore the properties of almost Ricci solitons and the gradient Ricci solitons on generalized Sasakian-space-forms with beta-Kenmotsu structure. We consider almost Ricci solitons on generalized Sasakian-space-forms with beta-Kenmotsu structure when the soliton vector field coincides with the Ree...
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| Format: | Article |
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Ram Arti Publishers
2025-10-01
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| Series: | International Journal of Mathematical, Engineering and Management Sciences |
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| Online Access: | https://www.ijmems.in/cms/storage/app/public/uploads/volumes/69-IJMEMS-24-0813-10-5-1463-1475-2025.pdf |
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| author | Sudhakar Kumar Chaubey Kawthar Al-Ajmi Ganesh Prasad Pokhariyal Devendra Kumar |
| author_facet | Sudhakar Kumar Chaubey Kawthar Al-Ajmi Ganesh Prasad Pokhariyal Devendra Kumar |
| author_sort | Sudhakar Kumar Chaubey |
| collection | DOAJ |
| description | We explore the properties of almost Ricci solitons and the gradient Ricci solitons on generalized Sasakian-space-forms with beta-Kenmotsu structure. We consider almost Ricci solitons on generalized Sasakian-space-forms with beta-Kenmotsu structure when the soliton vector field coincides with the Reeb vector field, and it is point-wise collinear with the Reeb vector field. We also investigate the properties of generalized Sasakian-space-forms with beta-Kenmotsu structure admitting the gradient Ricci solitons. |
| format | Article |
| id | doaj-art-4fd04279a7b14a6d86034bf264dc115b |
| institution | Kabale University |
| issn | 2455-7749 |
| language | English |
| publishDate | 2025-10-01 |
| publisher | Ram Arti Publishers |
| record_format | Article |
| series | International Journal of Mathematical, Engineering and Management Sciences |
| spelling | doaj-art-4fd04279a7b14a6d86034bf264dc115b2025-08-20T03:25:57ZengRam Arti PublishersInternational Journal of Mathematical, Engineering and Management Sciences2455-77492025-10-0110514631475https://doi.org/10.33889/IJMEMS.2025.10.5.069Generalized Sasakian Space-Forms with Beta-Kenmotsu Structure and Ricci Solitons Sudhakar Kumar Chaubey0Kawthar Al-Ajmi1Ganesh Prasad Pokhariyal2Devendra Kumar3Information Technology Department, College of Computing and Information Sciences, University of Technology and Applied Sciences, Shinas, P.O. Box 77, Postal Code 324, Sultanate of Oman.Information Technology Department, College of Computing and Information Sciences, University of Technology and Applied Sciences, Shinas, P.O. Box 77, Postal Code 324, Sultanate of Oman.Department of Mathematics, Graphic Era Hill University, 248002, Dehradun, Uttarakhand, India.Information Technology Department, College of Computing and Information Sciences, University of Technology and Applied Sciences, Shinas, P.O. Box 77, Postal Code 324, Sultanate of Oman.We explore the properties of almost Ricci solitons and the gradient Ricci solitons on generalized Sasakian-space-forms with beta-Kenmotsu structure. We consider almost Ricci solitons on generalized Sasakian-space-forms with beta-Kenmotsu structure when the soliton vector field coincides with the Reeb vector field, and it is point-wise collinear with the Reeb vector field. We also investigate the properties of generalized Sasakian-space-forms with beta-Kenmotsu structure admitting the gradient Ricci solitons.https://www.ijmems.in/cms/storage/app/public/uploads/volumes/69-IJMEMS-24-0813-10-5-1463-1475-2025.pdfalmost contact metric manifoldsgeneralized sasakian space-formscurvature tensorseta-einstein manifoldsricci flowalmost ricci soliton |
| spellingShingle | Sudhakar Kumar Chaubey Kawthar Al-Ajmi Ganesh Prasad Pokhariyal Devendra Kumar Generalized Sasakian Space-Forms with Beta-Kenmotsu Structure and Ricci Solitons International Journal of Mathematical, Engineering and Management Sciences almost contact metric manifolds generalized sasakian space-forms curvature tensors eta-einstein manifolds ricci flow almost ricci soliton |
| title | Generalized Sasakian Space-Forms with Beta-Kenmotsu Structure and Ricci Solitons |
| title_full | Generalized Sasakian Space-Forms with Beta-Kenmotsu Structure and Ricci Solitons |
| title_fullStr | Generalized Sasakian Space-Forms with Beta-Kenmotsu Structure and Ricci Solitons |
| title_full_unstemmed | Generalized Sasakian Space-Forms with Beta-Kenmotsu Structure and Ricci Solitons |
| title_short | Generalized Sasakian Space-Forms with Beta-Kenmotsu Structure and Ricci Solitons |
| title_sort | generalized sasakian space forms with beta kenmotsu structure and ricci solitons |
| topic | almost contact metric manifolds generalized sasakian space-forms curvature tensors eta-einstein manifolds ricci flow almost ricci soliton |
| url | https://www.ijmems.in/cms/storage/app/public/uploads/volumes/69-IJMEMS-24-0813-10-5-1463-1475-2025.pdf |
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