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arXiv · 1302.4428

On phi-Recurrent Contact Metric Manifolds

E. Peyghan·H. Nasrabadi·A. Tayebi
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Abstract

In this paper, we prove that evry 3-dimensional manifold M is a ?- recurrent N(k)-contact metric manifold if and only if it is flat. Then we classify the ?-recurrent contact metric manifolds of constant curvature. This implies that there exists no ?-recurrent N(k)-contact metric manifold, which is neither symmetric nor locally ?-symmetric.

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BibTeXRIS

E. Peyghan, H. Nasrabadi, A. Tayebi. 2013-02-16. On phi-Recurrent Contact Metric Manifolds. https://arxiv.org/abs/1302.4428

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