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On extended generalized \(\phi\)-recurrent \(\beta\)-Kenmotsu manifolds - MaRDI portal

On extended generalized \(\phi\)-recurrent \(\beta\)-Kenmotsu manifolds (Q2853170)

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scientific article; zbMATH DE number 6217126
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On extended generalized \(\phi\)-recurrent \(\beta\)-Kenmotsu manifolds
scientific article; zbMATH DE number 6217126

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    18 October 2013
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    On extended generalized \(\phi\)-recurrent \(\beta\)-Kenmotsu manifolds (English)
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    The authors study extended generalized \(\phi\)-recurrent \(\beta\)-Kenmotsu manifolds. They obtain a necessary and sufficient condition for such a manifold to be a generalized Ricci-recurrent manifold. They also consider extended generalized concircularly \(\phi\)-recurrent \(\beta\)-Kenmotsu manifolds and describe the nature of their associated 1-forms. Finally, they construct an example to confirm the existence of extended generalized \(\phi\)-recurrent \(\beta\)-Kenmotsu manifolds and justify their research.
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