Sudhakar Kumar Chaubey
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.

Kawthar Al-Ajmi
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.

Ganesh Prasad Pokhariyal
Department of Mathematics, Graphic Era Hill University, 248002, Dehradun, Uttarakhand, India.

Devendra Kumar
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.

DOI https://doi.org/10.33889/IJMEMS.2025.10.5.069

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Abstract

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.

Keywords- Almost contact metric manifolds, Generalized Sasakian space-forms, Curvature tensors, Eta-Einstein manifolds, Ricci flow, Almost Ricci soliton.

Citation

Chaubey, S. K. Al-Ajmi, K., Pokhariyal, G. P. & Kumar, D. (2025). Generalized Sasakian Space-Forms with Beta-Kenmotsu Structure and Ricci Solitons. International Journal of Mathematical, Engineering and Management Sciences, 10(5), 1463-1475. https://doi.org/10.33889/IJMEMS.2025.10.5.069.