Abstract
The present paper attempts to study the almost Ricci solitons in a generalized D-conformally deformed (LCS)\(_{n}\)-manifold considering potential vector field as a solenoidal vector field, a gradient vector field or the Reeb vector field of the deformed structure and explicitly investigate the Ricci and scalar curvatures for some cases. We also determine some inequalities for the Ricci curvature of the deformed (LCS)\(_{n}\)-manifold when it admits a gradient almost Ricci soliton.
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Bakshi, M.R., Baishya, K.K. & Blaga, A.M. Almost Ricci solitons in a generalized D-conformally deformed (LCS)\(_{n}\)-manifold. Ann Univ Ferrara 69, 111–120 (2023). https://doi.org/10.1007/s11565-022-00404-x
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DOI: https://doi.org/10.1007/s11565-022-00404-x
Keywords
- Almost Ricci soliton
- Generalized D-conformally deformed \((LCS)_n\)-structure
- Solenoidal vector field
- Gradient vector field