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- W2998242010 abstract "Abstract In this article we study Einstein-Weyl structures on a 3-dimensional trans-Sasakian manifold M of type ( α , β ). First, we prove that a 3-dimensional trans-Sasakian manifold admitting both Einstein-Weyl structures W ± = ( g , ± θ ) is Einstein, or is homothetic to a Sasakian manifold if α ≠ 0. Next for β ≠ 0 it is proved that M is Einstein, or is homothetic to an f -Kenmotsu manifold if it admits an Einstein-Weyl structure W = ( g , κη ) for some nonzero constant κ . Finally, a classification is obtained when a trans-Sasakian manifold admits a closed Einstein-Weyl structure. Further, if M is compact we also obtain two corollaries." @default.
- W2998242010 created "2020-01-10" @default.
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- W2998242010 date "2019-12-18" @default.
- W2998242010 modified "2023-09-27" @default.
- W2998242010 title "Einstein-Weyl structures on trans-Sasakian manifolds" @default.
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- W2998242010 doi "https://doi.org/10.1515/ms-2017-0319" @default.
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