Canonical-type connection on almost contact manifolds with B-metric

DOI10.1007/s10455-012-9351-zzbMath1267.53031arXiv1203.0137OpenAlexW3101192155MaRDI QIDQ1950361

Mancho Manev, Miroslava Ivanova

Publication date: 13 May 2013

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.0137

zbMATH Keywords

natural connectionconformal transformationalmost contact manifoldtorsion tensorcanonical connectionB-metric

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Connections (general theory) (53C05)

Related Items (10)

Sasaki-like almost contact complex Riemannian manifolds ⋮ Conformal vector fields and Ricci soliton structures on natural Riemann extensions ⋮ Slant null curves on normal almost contact B-metric 3-manifolds with parallel Reeb vector field ⋮ A semisymmetric metric connection on almost contact B−metric manifolds ⋮ A classification of the torsion tensors on almost contact manifolds with B-metric ⋮ \(\mathcal{D}\)-homothetic deformation on almost contact \(B\)-metric manifolds ⋮ Almost contact B-metric manifolds as extensions of a 2-dimensional space-form ⋮ Geometric characteristics and properties of a three-parametric family of Lie groups with almost contact B-metric structure of the smallest dimension ⋮ The components of the structure tensor of five-dimensional almost contact B-metric manifolds ⋮ Lie groups as 3-dimensional almost contact B-metric manifolds

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