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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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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.
Manev, Hristo M.
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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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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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Almost contact metric 3-submersions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1984 An almost contact metric 3-submersion is a Riemannian submersion, π from an almost contact metric manifold (M4m+3,(φi,ξi,ηi)i=13,g) onto an almost quaternionic manifold (N4n,(Ji)i=13,h) which commutes with the structure tensors of type (1,1);i.e., π*φi ...
Bill Watson
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MathematicsAlmost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with a pair of pseudo-Riemannian metrics that are mutually associated with each other using the tensor structure. Here, we consider a special class
Mancho Manev
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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. We nd the necessary and sucient condition for the characterization of the induced connection to be a metric connection ...
Anu Devgan, R. K. Nagaich
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MathematicsAlmost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with Ricci–Bourguignon-like almost solitons.
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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Riemannian Curvature of a Sliced Contact Metric Manifold [PDF]
, 2018 Contact geometry become a more important issue in the mathematical world with the workswhich had done in the 19th century. Many mathematicians have made studies on contactmanifolds, almost contact manifolds, almost contact metric manifolds and contact ...
Gümüş, Mehmet, Çetin, Sema Camcı
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