Almost contact B-metric manifolds with curvature tensors of K\"ahler type [PDF]
, 2012 On 5-dimensional almost contact B-metric manifolds, the form of any K\"ahler-type tensor (i.e. a tensor satisfying the properties of the curvature tensor of the Levi-Civita connection in the special class of the parallel structures on the manifold) is ...
Ivanova, Miroslava, Manev, Mancho
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A classification of the torsion tensors on almost contact manifolds with B-metric [PDF]
Open Mathematics, 2014 AbstractThe space of the torsion (0,3)-tensors of the linear connections on almost contact manifolds with B-metric is decomposed in 15 orthogonal and invariant subspaces with respect to the action of the structure group. Three known connections, preserving the structure, are characterized regarding this classification.
Manev Mancho, Ivanova Miroslava
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Canonical-type connection on almost contact manifolds with B-metric [PDF]
Annals of Global Analysis and Geometry, 2012 11 pages, The final publication is available at http://www.springerlink ...
Manev, Mancho, Ivanova, Miroslava
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Slant and Legendre null curves in 3-dimensional Sasaki-like almost contact B-metric manifolds [PDF]
Journal of Geometry, 2021 23 pages.
Nakova, Galia, Zamkovoy, Simeon
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Ricci-like solitons on almost contact B-metric manifolds [PDF]
Journal of Geometry and Physics, 2020 Ricci-like solitons with potential Reeb vector field are introduced and studied on almost contact B-metric manifolds. The cases of Sasaki-like manifolds and torse-forming potentials have been considered. In these cases, it is proved that the manifold admits a Ricci-like soliton if and only if the structure is Einstein-like.
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Lie groups as 3-dimensional almost contact B-metric manifolds [PDF]
Journal of Geometry, 2014 The object of investigations are almost contact B-metric structures on 3-dimensional Lie groups considered as smooth manifolds. There are established the existence and some geometric characteristics of these manifolds in all basic classes. An example is given as a support of obtained results.
Manev, Hristo, Mekerov, Dimitar
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A semisymmetric metric connection on almost contact B−metric manifolds
TURKISH JOURNAL OF MATHEMATICS, 2021 This paper is devoted to the study of a semi-symmetric metric connection on an almost contact \(B\)-metric manifold. Recall that an almost contact manifold is a \((2n+1)\)-manifold admitting a vector-valued linear map \(\varphi\), a vector field \(\xi\) and a \(1\)-form \(\eta\) such that \[ \eta(\xi) = 1, \qquad \varphi^2 x = -x + \eta(x)\xi, \] for ...
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Radical Screen Transversal Half Lightlike Submanifolds of Almost Contact B-metric Manifolds [PDF]
, 2020 We introduce a class of half lightlike submanifolds of almost contact B-metric manifolds and prove that such submanifolds are semi-Riemannian with respect to the associated B-metric. Object of investigations are also minimal of the considered submanifolds and a non-trivial example for them is given.
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Sasaki-Einstein and paraSasaki-Einstein metrics from (\kappa,\mu)-structures [PDF]
, 2013 We prove that any non-Sasakian contact metric (\kappa,\mu)-space admits a canonical \eta-Einstein Sasakian or \eta-Einstein paraSasakian metric. An explicit expression for the curvature tensor fields of those metrics is given and we find the values of ...
Alegre +33 more
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On the structure tensors of almost contact B-metric manifolds [PDF]
Filomat, 2015 The space of the structure (0,3)-tensors of the covariant derivatives of the structure endomorphism and the metric on almost contact B-metric manifolds is considered. A known decomposition of this space in orthogonal and invariant subspaces with respect to the action of the structure group is used.
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