Prolongations of G-Structures to Tangent Bundles

DOI10.1017/S002776300002660XzbMath0159.23402MaRDI QIDQ5542598

Akihiko Morimoto

Publication date: 1968

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

differential geometry

Related Items (13)

Differential geometry of tangent bundles of order 2 ⋮ Prolongation of G-structures to the frame bundle ⋮ Prolongations of G-Structures to Tangent Bundles of Higher Order ⋮ Jet bundles as manifolds over algebras ⋮ Prolongations of Connections to Tangential Fibre Bundles of Higher Order ⋮ Liftings of Tensor Fields and Connections to Tangent Bundles of Higher Order ⋮ Complete lifts of connections and stochastic Jacobi fields ⋮ Lifts of some tensor fields and connections to product preserving functors ⋮ Infinitesimal connections in bundles ⋮ Tensor fields and connections on a cross-section in the tangent bundle of order $r$ ⋮ Structures on differentiable manifolds ⋮ Prolongations of pseudogroup structures to tangent bundles ⋮ Characterization of symplectic forms induced by some tangent G-structures of higher order

Cites Work

• Unnamed Item
• On the differential geometry of tangent bundles of Riemannian manifolds
• Some global properties of contact structures
• Sur la géométrie différentielle des \(G\)-structures
• On differentiable manifolds with contact metric structures
• Theory of connections
• The geometry of $G$-structures

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