Local Holonomy Groups of Induced Connections

DOI10.2307/2039717zbMath0277.53011OpenAlexW4255287716MaRDI QIDQ4403409

Mu-Chou Liu

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/2039717

Mathematics Subject Classification ID

Linear and affine connections (53B05)

Related Items (1)

Groups of transformations of Riemannian manifolds

Cites Work

• On the differential geometry of tangent bundles of Riemannian manifolds
• Prolongations of tensor fields and connections to tangent bundles. I: General theory
• Prolongations of tensor fields and connections to tangent bundles. II: Infinitesimal automorphisms
• Prolongations of tensor fields and connections to tangent bundles. III: Holonomy groups
• Connections on tangent bundles
• Totally geodesic maps
• On Automorphisms of A Kählerian Structure
• On the Geometry of the Tangent Bundle.
• Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.

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