Displaying similar documents to “Classification of locally symmetric contact metric manifolds.”

A contact metric manifold satisfying a certain curvature condition

Jong Taek Cho (1995)

Archivum Mathematicum

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In the present paper we investigate a contact metric manifold satisfying (C) ( ¯ γ ˙ R ) ( · , γ ˙ ) γ ˙ = 0 for any ¯ -geodesic γ , where ¯ is the Tanaka connection. We classify the 3-dimensional contact metric manifolds satisfying (C) for any ¯ -geodesic γ . Also, we prove a structure theorem for a contact metric manifold with ξ belonging to the k -nullity distribution and satisfying (C) for any ¯ -geodesic γ .

Almost Contact B-metric Manifoldsas Extensions of a 2-dimensional Space-form

Hristo M. Manev (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The object of investigations are almost contact B-metric manifolds which are derived as a product of a real line and a 2-dimensional manifold equipped with a complex structure and a Norden metric. There are used two different methods for generation of the B-metric on the product manifold. The constructed manifolds are characterised with respect to the Ganchev–Mihova–Gribachev classification and their basic curvature properties.