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On phi-Recurrent Contact Metric Manifolds
Published 16 Feb 2013 in math.DG | (1302.4428v1)
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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