Distinguished connections on $(J^{2}=\pm 1)$-metric manifolds

DOI10.5817/AM2016-3-159zbMath1389.53052arXiv1601.05231OpenAlexW2285941602MaRDI QIDQ2828843

Rafael Santamaría, Fernando Etayo Gordejuela

Publication date: 26 October 2016

Published in: Archivum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.05231

zbMATH Keywords

natural connectioncanonical connectionconnection with skew-symmetric torsion\((\alpha ,\varepsilon)\)-structure

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) 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 (14)

Unified classification of pure metric geometries ⋮ On the geometry of almost Golden Riemannian manifolds ⋮ Classification of almost Golden Riemannian manifolds with null trace ⋮ Induced polynomial structures on generalized geometry ⋮ Affine generalized Ricci solitons of three-dimensional Lorentzian Lie groups associated to Yano connection ⋮ Affine connections on singular warped products ⋮ Affine algebraic Ricci solitons associated to the Yano connections on three-dimensional Lorentzian Lie groups ⋮ Gauss-Bonnet theorems for Lorentzian and spacelike surfaces associated to canonical connections in the Lorentzian Heisenberg group ⋮ Generalized Ricci solitons of three-dimensional Lorentzian Lie groups associated canonical connections and Kobayashi-nomizu connections ⋮ Unnamed Item ⋮ General natural \((\alpha ,\varepsilon )\)-structures ⋮ The Chern connection of a \((J^{2}=\pm1)\)-metric manifold of class \({\mathcal{G}}_{1}\) ⋮ Structure-preserving connections on almost complex Norden golden manifolds ⋮ Canonical connections and algebraic Ricci solitons of three-dimensional Lorentzian Lie groups

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