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On Einstein-type almost Kenmotsu manifolds

Huchchappa Aruna Kumara, , Devaraja Mallesha Naik
Published: 27 January 2023
 by  Exeley Inc

Abstract: First, we consider a non-trivial Einstein-type equation on a Kenmotsu manifold M and show that either M is Einstein or the potential function is pointwise collinear with ξ on an open set 𝒰 {\mathcal{U}} of M. Finally, we study an Einstein-type equation on an almost Kenmotsu ( κ , μ ) ′ {(\kappa,\mu)^{\prime}} -manifold.
Keywords: Einstein-type metric / Kenmotsu manifolds / Einstein manifolds

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