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Strongly locally φ-symmetric contact metric manifolds

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Abstract

We prove that if M is a connected strongly locally φ-symmetric contact metric manifold, such that K p (ξ, X) ≠ 1, at some \({p\in M}\), then M is a (κ, μ)-manifold.

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Authors and Affiliations

  1. Department of Mathematics, University of Ioannina, 45110, Ioannina, Greece

    Th. Koufogiorgos & G. Stamatiou

Authors
  1. Th. Koufogiorgos
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  2. G. Stamatiou
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Correspondence to Th. Koufogiorgos.

Additional information

G. Stamatiou was supported by a graduate fellowship from the State Scholarships Foundation of Greece (IKY).

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Koufogiorgos, T., Stamatiou, G. Strongly locally φ-symmetric contact metric manifolds. Beitr Algebra Geom 52, 221–236 (2011). https://doi.org/10.1007/s13366-011-0013-2

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  • DOI: https://doi.org/10.1007/s13366-011-0013-2

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