The well adapted connection of a \((J^{2}=\pm 1)\)-metric manifold

DOI10.1007/s13398-016-0299-xzbMath1362.53037arXiv1512.03586OpenAlexW3100478695MaRDI QIDQ523112

Rafael Santamaría, Fernando Etayo Gordejuela

Publication date: 20 April 2017

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03586

zbMATH Keywords

natural connectionChern connection\((J^{2}=\pm 1)\)-metric manifoldfunctorial connectionwell-adapted connection

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) 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)

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Cites Work

• \(A\)-manifolds admitting a functorial connection
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Indefinite Kähler manifolds
• A survey on paracomplex geometry
• Characteristic classes of Hermitian manifolds
• Almost complex connections on almost complex manifolds with Norden metric
• A canonical connection associated with certain G-structures
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