Almost contact B-metric structures and the Bianchi classification of the three-dimensional Lie algebras

zbMath1474.53161arXiv1412.8142MaRDI QIDQ4993816

Hristo Manev

Publication date: 16 June 2021

Full work available at URL: https://arxiv.org/abs/1412.8142

zbMATH Keywords

Lie algebraLie groupindefinite metricalmost contact structureB-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) Almost contact and almost symplectic manifolds (53D15)

Related Items (2)

Ricci-like solitons with arbitrary potential and gradient almost Ricci-like solitons on Sasaki-like almost contact B-metric manifolds ⋮ Geometric characteristics and properties of a three-parametric family of Lie groups with almost contact B-metric structure of the smallest dimension

Cites Work

• Closed spaces in cosmology
• On the three-dimensional spaces which admit a continuous group of motions
• Lie groups as 3-dimensional almost contact B-metric manifolds
• NATURAL CONNECTION WITH TOTALLY SKEW-SYMMETRIC TORSION ON ALMOST CONTACT MANIFOLDS WITH B-METRIC
• On the structure tensors of almost contact B-metric manifolds
• Riemannian geometry of contact and symplectic manifolds
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