Abstract
In this paper we study contact metric manifoldsM 2n+1(ϕ, η, ξ,g) with characteristic vector field ξ belonging to thek-nullity distribution. Moreover we prove that there exist i) nonK-contact, contact metric manifolds of dimension greater than 3 with Ricci operator commuting with ϕ and ii) 3-dimensional contact metric manifolds with non-zero constant ϕ-sectional curvature.
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Koufogiorgos, T. Contact metric manifolds. Ann Glob Anal Geom 11, 25–34 (1993). https://doi.org/10.1007/BF00773361
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DOI: https://doi.org/10.1007/BF00773361