Liftings of Some Types of Tensor Fields and Connections to Tangent Bundles of pr-Velocities

DOI10.1017/S0027763000013830zbMath0208.24401MaRDI QIDQ5610264

Akihiko Morimoto

Publication date: 1970

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

Mathematics Subject Classification ID

Local Riemannian geometry (53B20)

Related Items

Vertical and horizontal lifts of multivector fields and applications ⋮ Jet bundles as manifolds over algebras ⋮ The Günther’s formalism in classical field theory: momentum map and reduction ⋮ Prolongations of G-structures related to Weil bundles and some applications ⋮ Lifts of some tensor fields and connections to product preserving functors ⋮ VB-structures and generalizations ⋮ Vertical lifts of higher order of multivector fields and applications to Poisson geometry ⋮ Pre-Courant algebroids ⋮ Differential-geometric structures on manifolds ⋮ SYMMETRIES AND CONSERVATION LAWS IN THE GÜNTHER k-SYMPLECTIC FORMALISM OF FIELD THEORY ⋮ NONHOLONOMIC CONSTRAINTS IN k-SYMPLECTIC CLASSICAL FIELD THEORIES ⋮ \(k\)-cosymplectic classical field theories: Tulczyjew and skinner-rusk formulations ⋮ k-SYMPLECTIC AND k-COSYMPLECTIC LAGRANGIAN FIELD THEORIES: SOME INTERESTING EXAMPLES AND APPLICATIONS ⋮ Derivations of linear algebras and linear connections ⋮ Prolongations of Dirac structures related to Weil bundles ⋮ k-cosymplectic manifolds and Lagrangian field theories ⋮ Structures on differentiable manifolds ⋮ The infinitesimal counterpart of tangent presymplectic groupoids of higher order ⋮ HAMILTON–JACOBI THEORY IN k-SYMPLECTIC FIELD THEORIES ⋮ Characterization of symplectic forms induced by some tangent G-structures of higher order ⋮ Unnamed Item ⋮ Relèvements des structures symplectiques et pseudo-riemanniennes à des variétés de points proches ⋮ Günther’s formalism (k-symplectic formalism) in classical field theory: Skinner–Rusk approach and the evolution operator ⋮ HAMILTON–JACOBI THEORY IN k-COSYMPLECTIC FIELD THEORIES

Cites Work

• Prolongations of G-Structures to Tangent Bundles of Higher Order
• Prolongations of Connections to Tangential Fibre Bundles of Higher Order
• Liftings of Tensor Fields and Connections to Tangent Bundles of Higher Order

This page was built for publication: Liftings of Some Types of Tensor Fields and Connections to Tangent Bundles of p^r-Velocities