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arxiv: 1302.4429 · v1 · pith:6DEZMGDSnew · submitted 2013-02-16 · 🧮 math.DG

On phi-Recurrent (k, m)-Contact Metric Manifolds

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keywords manifoldsphi-recurrentcontactmetricdimensionalflatmanifoldonly
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In this paper, we show that there is no phi-recurrent Sasakian manifold. Then we prove that the only flat 3-dimensional manifolds are phi-recurrent (k, m)-contact metric manifolds.

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