Parallel connections over symmetric spaces

DOI10.1007/BF02921966zbMath1001.53009arXivdg-ga/9712014MaRDI QIDQ5950490

Luis Guijarro, Gerard Walschap, Lorenzo Sadun

Publication date: 16 December 2002

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9712014

zbMATH Keywords

holonomysymmetric spaceparallel curvatureYang-Mills connection

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Differential geometry of symmetric spaces (53C35) Issues of holonomy in differential geometry (53C29) Connections (general theory) (53C05)

Related Items (3)

Metrics of constant scalar curvature on sphere bundles ⋮ On pull-backs of the universal connection ⋮ Radially symmetric connections over round spheres

Cites Work

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• Gauge theory and fibre symmetries
• Connection metrics of nonnegative curvature on vector bundles
• Stability and isolation phenomena for Yang-Mills fields
• An exotic sphere with nonnegative sectional curvature
• Some bundles of non-negative curvature
• Some examples of manifolds of nonnegative curvature
• On Invariant Connections over a Principal Fibre Bundle
• Invariant Affine Connections on Symmetric Spaces

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