On the class of contact metric manifolds with a 3-τ-structure


In [7] Gouli-Andreou and Xenos introduced the notion of a contact metric strutture being a 3-τ-structure and developed some of its basic properties. Known examples however are contact metric manifolds satisfying the stronger condition that their Ricci operator commute with the fundamental collineation \Phi. In this paper we show that contact metric manifolds with a 3-τ-structure indeed form a larger class and the example we give is also of interest in terms of special directions introduced in [3] on contact metric manifolds with negative sectional curvature for plane sections containing the characteristic vector field \xi.

DOI Code: 10.1285/i15900932v16n1p99

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