Higher order tangent bundles

DOI10.1007/s00009-016-0812-7zbMath1364.58003arXiv1403.3111OpenAlexW1564167598MaRDI QIDQ523644

Ali Suri

Publication date: 21 April 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.3111

zbMATH Keywords

Banach manifoldlinear connectionLagrangiansFréchet manifoldconnection maphigher order tangent bundlelifting of Riemannian metrics

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Differentiable manifolds, foundations (58A05)

Related Items

Control and maintenance of fully-constrained and underconstrained rigid body motion on Lie groups and their tangent bundles ⋮ Second-order time-dependent tangent bundles and geometric mechanics ⋮ Isomorphism classes for higher order tangent bundles ⋮ Reductions of topologically massive gravity II. First order realizations of second order Lagrangians ⋮ On the geometry of the Schmidt-Legendre transformation ⋮ Reductions of topologically massive gravity I: Hamiltonian analysis of second order degenerate Lagrangians

Cites Work

• Geometry of the double tangent bundles of Banach manifolds
• Second order tangent bundles of infinite dimensional manifolds
• Properties of infinite dimensional Hamiltonian systems
• The geometry of higher-order Lagrange spaces. Applications to mechanics and physics
• Isomorphism classes for higher order tangent bundles
• Riemannian metrics on an infinite dimensional symplectic group
• Infinite-dimensional second order ordinary differential equations via \(T^{2}M\)
• Canonical semisprays for higher-order Lagrange spaces
• Connections on tangent bundles
• Higher-order differential equations and higher-order lagrangian mechanics
• The inverse function theorem of Nash and Moser
• The theory of differentiation in linear topological spaces
• Liftings of Tensor Fields and Connections to Tangent Bundles of Higher Order
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