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- W3000656561 abstract "In this article, we study almost cosymplectic manifolds admitting quasi-Einstein structures $$(g, V, m, lambda )$$. First we prove that an almost cosymplectic $$(kappa ,mu )$$-manifold is locally isomorphic to a Lie group if $$(g, V, m, lambda )$$ is closed and on a compact almost $$(kappa ,mu )$$-cosymplectic manifold there do not exist quasi-Einstein structures $$(g, V, m, lambda )$$, in which the potential vector field V is collinear with the Reeb vector field $$xi $$. Next we consider an almost $$alpha $$-cosymplectic manifold admitting a quasi-Einstein structure and obtain some results. Finally, for a K-cosymplectic manifold with a closed, non-steady quasi-Einstein structure, we prove that it is $$eta $$-Einstein. If $$(g, V, m, lambda )$$ is non-steady and V is a conformal vector field, we obtain the same conclusion." @default.
- W3000656561 created "2020-01-23" @default.
- W3000656561 creator A5046561927 @default.
- W3000656561 date "2020-01-16" @default.
- W3000656561 modified "2023-10-17" @default.
- W3000656561 title "Quasi-Einstein structures and almost cosymplectic manifolds" @default.
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- W3000656561 doi "https://doi.org/10.1007/s13398-020-00801-x" @default.
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