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 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.

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Publication Details

Journal
International Journal of Mathematical Engineering and Management Sciences
Published
2025-06-13
DOI
https://doi.org/10.33889/ijmems.2025.10.5.069
Primary Topic
Advanced Differential Geometry Research
Type
article
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article

Generalized Sasakian Space-Forms with Beta-Kenmotsu Structure and Ricci Solitons

Sudhakar Kumar Chaubey, Devendra Kumar, Ganesh Prasad Pokhariyal, Kawthar Al-Ajmi
International Journal of Mathematical Engineering and Management Sciences
Advanced Differential Geometry Research
article

Generalized Sasakian Space-Forms with Beta-Kenmotsu Structure and Ricci Solitons

Sudhakar Kumar Chaubey, Devendra Kumar, Ganesh Prasad Pokhariyal, Kawthar Al-Ajmi
article en

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.

International Journal of Mathematical Engineering and Management SciencesVol. 10(5)
College of Applied Sciences, Nizwa (OM), Graphic Era University (IN)
Openalex Percentile: Top 91%
Advanced Differential Geometry Research
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