Liftings of Tensor Fields and Connections to Tangent Bundles of Higher Order

DOI10.1017/S002776300001388XzbMath0208.50201MaRDI QIDQ5609096

Akihiko Morimoto

Publication date: 1970

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

Mathematics Subject Classification ID

Integral geometry (53C65) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items

Lifting statistical structures, Complete lift of vector fields and sprays to T^∞M, Jet bundles as manifolds over algebras, Remarks on the behaviour of higher-order derivations on the gluing of differential spaces, Polarisation of graded bundles, Quotients of double vector bundles and multigraded bundles, Liftings of Some Types of Tensor Fields and Connections to Tangent Bundles of p^r-Velocities, Lifts of some tensor fields and connections to product preserving functors, VB-structures and generalizations, The G. F. Laptev method: fundamental objects of mappings, Differential geometry of weightings, Unnamed Item, Tensor fields and connections on a cross-section in the tangent bundle of order $r$, Differential-geometric structures on manifolds, Isomorphism classes for higher order tangent bundles, Connections adapted to non-negatively graded structures, Lifts of 1-forms to the tangent bundle of higher order, Higher order transverse bundles and Riemannian foliations, Higher order tangent bundles, Higher-order analogs of Lie algebroids via vector bundle comorphisms, Derivations of linear algebras and linear connections, Structures on differentiable manifolds, Bundle-theoretic methods for higher-order variational calculus, Models for higher algebroids, Unnamed Item, Relèvements des structures symplectiques et pseudo-riemanniennes à des variétés de points proches, Unnamed Item

Cites Work

• Prolongations of tensor fields and connections to tangent bundles. I: General theory
• Prolongations of G-Structures to Tangent Bundles
• Prolongations of G-Structures to Tangent Bundles of Higher Order