Complete Lifts of Tensor Fields and Connections to the Frame Bundle

DOI10.1112/plms/s3-38.1.72zbMath0395.53017OpenAlexW2065088897MaRDI QIDQ4178183

Kam-Ping Mok

Publication date: 1979

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-38.1.72

zbMATH Keywords

ConnectionsComplete LiftsFrame BundleTensor Fields

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Connections (general theory) (53C05)

Related Items

Prolongation of G-structures to the frame bundle, Isometry groups of Riemannian fibrations, Geometry of tangent bundles and spaces over algebras, Martingales on frame bundles, Prolongations of linear connections to the frame bundle, Derivations of linear algebras and linear connections, Lifts of tensor fields to the frame bundle, Lifts of derivations in the coframe bundle, Lifts of derivations to the frame bundle