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The components of the structure tensor of five-dimensional almost contact B-metric manifolds
Asian-European Journal of Mathematics, 2020Almost contact [Formula: see text]-metric manifolds of the dimension 5 are considered. Our aim is to determine the corresponding components of the structure tensor of these manifolds. Some known examples of almost contact [Formula: see text]-metric manifolds are commented.
Ivanova, Miroslava, Dospatliev, Lilko
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Curvature properties of normal almost contact manifolds with B-metric
Journal of Geometry, 2013Let \(M\) be a \((2n+1)\)-dimensional manifold equipped with an almost contact structure \((\varphi,\xi,\eta)\) and a pseudo-Riemannian metric \(g\) such that \( g(\varphi x,\varphi y ) = - g(x,y) + \eta(x)\eta(y) \) for vector fields \(x,y,z, \dots\) on \(M\), i.e., a \(B\)-metric.
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$$\mathcal {D}$$-Homothetic deformation on almost contact B-metric manifolds
Journal of Geometry, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Submanifolds of some almost contact manifolds with \(B\)-metric with codimension two. II
1998Summary: The authors study submanifolds of almost contact manifolds with \(B\)-metric of codimension 2, such that the vector field of the almost contact structure does not belong to the tangential space or to be normal space of the submanifold. Examples of such submanifolds are constructed.
Nakova, G., Gribachev, K.
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Null $φ$-Slant Curves in a Main Class of 3-Dimensional Normal Almost Contact B-Metric Manifolds
2020We introduce a new type of slant curves in almost contact B-metric manifolds, called $φ$-slant curves, by an additional condition which is specific for these manifolds. In this paper we study $φ$-slant null curves in a class of 3-dimensional normal almost contact B-metric manifolds and prove that for non-geodesic of them there exists a unique Frenet ...
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Curvature tensors on some five-dimensional almost contact B-metric manifolds
There are considered 5-dimensional almost contact B-metric manifolds of two basic classes. It is proved that every manifold from the section of these classes is with point-wise constant sectional curvatures. It is studied the curvature tensor of the manifolds of these two classes and some their curvature characteristics are given.Nakova, Galia, Manev, Mancho
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CURVATURE TENSORS ON ALMOST CONTACT MANIFOLDS WITH B-METRIC
Trends in Complex Analysis, Differential Geometry and Mathematical Physics, 2003openaire +1 more source

