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Curvature properties of normal almost contact manifolds with B-metric

Journal of Geometry, 2013
Let \(M\) 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, 2019
zbMATH 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

1998
Summary: 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

2020
We 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, 2003
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FIVE-DIMENSIONAL LIE GROUPS WHICH ARE ALMOST CONTACT B-METRIC MANIFOLDS WITH THREE NATURAL CONNECTIONS

Current Developments in Differential Geometry and its Related Fields, 2015
Miroslava IVANOVA, Hristo MANEV
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