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On Einstein-type almost Kenmotsu manifolds
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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
????
{\mathcal{U}}
of M. Finally, we study an Einstein-type equation on an almost Kenmotsu
(
κ
,
μ
)
′
{(\kappa,\mu)^{\prime}}
-manifold.
Walter de Gruyter GmbH
Title: On Einstein-type almost Kenmotsu manifolds
Description:
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
????
{\mathcal{U}}
of M.
Finally, we study an Einstein-type equation on an almost Kenmotsu
(
κ
,
μ
)
′
{(\kappa,\mu)^{\prime}}
-manifold.
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