Almost Contact B-metric Manifoldsas Extensions of a 2-dimensional Space-form [PDF]
Filomat, 2016 summary:The object of investigations are almost contact B-metric manifolds which are derived as a product of a real line and a 2-dimensional manifold equipped with a complex structure and a Norden metric.
Manev, Hristo M.
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Totally Contact Umbilical Radical Transversal Lightlike Submanifolds Of An Almost Contact Manifold With B-Metric [PDF]
JOURNAL OF ADVANCES IN MATHEMATICS, 2017 In the present paper, we study the geometry of totally contact umbilical radical transversal lightlike submanifolds and totally contact umbilical CR- submanifold of an indenite Sasaki-like almost contact manifold with B-metric.
Nagaich, R. K., Devgan, Anu
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MATRIX LIE GROUPS AS 3-DIMENSIONAL ALMOST CONTACT B-METRIC MANIFOLDS [PDF]
, 2015 The object of investigation are Lie groups considered as almost contact B-metric manifolds of the lowest dimension three. A correspondence is established of all basic-class-manifolds of the Ganchev-Mihova-Gribachev classification of the studied manifolds
Hristo Manev, Manev, Hristo
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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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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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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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Structure connection in an almost contact metric manifold [PDF]
, 1980 In 1970, semisymetric connection were studied by Yano [1] in a Riemannian manifold and in 1972 Mishra [2] studied affine connection in an almost contact Riemannian manifold.
Sinha, B. B., Yadava, S. L.
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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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