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arXiv · 2006.07031

Almost Ricci-like solitons with torse-forming vertical potential of constant length on almost contact B-metric manifolds

Mancho Manev
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Abstract

A generalization of Ricci-like solitons with torse-forming potential, which is a constant multiple of the Reeb vector field, is studied. The conditions under which these solitons are equivalent to almost Einstein-like metrics are given. Some results are obtained for a parallel symmetric second-order covariant tensor. Finally, an explicit example of an arbitrary dimension is given and some of the results are illustrated.

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Mancho Manev. 2020-06-12. Almost Ricci-like solitons with torse-forming vertical potential of constant length on almost contact B-metric manifolds. https://doi.org/10.1016/j.geomphys.2021.104307

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