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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 $��$-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 $ $-slant curves, by an additional condition which is specific for these manifolds. In this paper we study $ $-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 ALMOST CONTACT MANIFOLDS WITH B-METRIC
Trends in Complex Analysis, Differential Geometry and Mathematical Physics, 2003openaire +1 more source
Current Developments in Differential Geometry and its Related Fields, 2015
Miroslava IVANOVA, Hristo MANEV
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Miroslava IVANOVA, Hristo MANEV
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