Geodesic
Almost Contact B-metric Manifoldsas Extensions of a 2-dimensional Space-form
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 1, pp. 59-71 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 53C15, 53C50
Keywords: Almost contact manifold; B-metric; cone; $S^1$-solvable extension; complex space-form; Norden metric 
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Manev, Hristo M. Almost Contact B-metric Manifoldsas Extensions of a 2-dimensional Space-form. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 1, pp. 59-71. http://geodesic.mathdoc.fr/item/AUPO_2016_55_1_a8/

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