2021/04/10 by Dipen Ganguly, Santu Dey, Ganguly, Dipen +3
Mathematics · Physics and Astronomy · #53C15 #53C21 #53C25 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.2104.04791
openalex publication_date 2021/04/10 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
The present paper is to deliberate the class of 3-dimensional trans-Sasakian manifolds which admits η-Einstein solitons. We have studied η-Einstein solitons on 3-dimensional trans-Sasakian manifolds where the Ricci tensors are Codazzi type and cyclic parallel. We have also discussed some curvature conditions admitting η-Einstein solitons on 3-dimensional trans-Sasakian manifolds and the vector field is torse-forming. We have also shown an example of 3-dimensional trans-Sasakian manifold with respect to η-Einstein soliton to verify our results.