Unified classification of pure metric geometries

DOI10.15672/hujms.899894zbMath1499.53118OpenAlexW3214038568WikidataQ114051798 ScholiaQ114051798MaRDI QIDQ5074236

Araceli de Francisco, Rafael Santamaría, Fernando Etayo Gordejuela

Publication date: 9 May 2022

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.899894

zbMATH Keywords

classificationwell-adapted connectionfirst canonical connection\(\alpha\)-golden metric manifold\(\alpha\)-metric manifold

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Connections (general theory) (53C05)

Cites Work

• The well adapted connection of a \((J^{2}=\pm 1)\)-metric manifold
• Golden-Hessian structures
• Paraholomorphic B-manifold and its properties
• On the geometry of almost Golden Riemannian manifolds
• The Chern connection of a \((J^{2}=\pm1)\)-metric manifold of class \({\mathcal{G}}_{1}\)
• Classification of almost Golden Riemannian manifolds with null trace
• Classification of almost Norden golden manifolds
• Structure-preserving connections on almost complex Norden golden manifolds
• Distinguished connections on $(J^{2}=\pm 1)$-metric manifolds
• On product and golden stuctures and harmonicity
• On Kähler–Norden–Codazzi golden structures on pseudo-Riemannian manifolds
• Polynomial structures on manifolds
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