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Yamabe Solitons on Some Conformal Almost Contact B-Metric Manifolds
Mathematics, 2022 A Yamabe soliton is defined on an arbitrary almost-contact B-metric manifold, which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric.
Mancho Manev
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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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Axioms, 2023 A Yamabe soliton is considered on an almost-contact complex Riemannian manifold (also known as an almost-contact B-metric manifold), which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric ...
Mancho Manev
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Mathematics, 2023 Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are, in principle, equipped with a pair of mutually associated pseudo-Riemannian metrics. Each of these metrics is specialized as a Yamabe almost soliton with a
Mancho Manev
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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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Дифференциальная геометрия многообразий фигур, 2019 Almost contact metric (аст-)structures induced on oriented hypersurfaces of a Kählerian manifold are considered in the case when these аст-structures are of cosymplectic type, i. e. the contact form of these structures is closed. As it is known, the
G. Banaru
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