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arXiv · 1912.09921

Ricci-like solitons on almost contact B-metric manifolds

Mancho Manev
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Abstract

Ricci-like solitons with potential Reeb vector field are introduced and studied on almost contact B-metric manifolds. The cases of Sasaki-like manifolds and torse-forming potentials have been considered. In these cases, it is proved that the manifold admits a Ricci-like soliton if and only if the structure is Einstein-like. Explicit examples of Lie groups as 3- and 5-dimensional manifolds with the structures studied are provided.

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Mancho Manev. 2019-12-20. Ricci-like solitons on almost contact B-metric manifolds. https://doi.org/10.1016/j.geomphys.2020.103734

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