The Chern connection of a \((J^{2}=\pm1)\)-metric manifold of class \({\mathcal{G}}_{1}\)

DOI10.1007/s00009-018-1207-8zbMath1397.53043OpenAlexW2809445996MaRDI QIDQ1790537

Rafael Santamaría, Araceli de Francisco, Fernando Etayo Gordejuela

Publication date: 2 October 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1207-8

zbMATH Keywords

Chern connectionconnection with totally skew-symmetric torsion\((J^2=\pm1)\)-metric manifold\({\mathcal {G}}_1\) manifoldquasi-canonical connection

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 (4)

Unified classification of pure metric geometries ⋮ Classification of almost Golden Riemannian manifolds with null trace ⋮ Solitons for the coupled matrix nonlinear Schrödinger-type equations and the related Schrödinger flow ⋮ Classification of almost Norden golden manifolds

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