Geometry of the double tangent bundles of Banach manifolds

DOI10.1016/j.geomphys.2013.07.009zbMath1282.58003OpenAlexW2078971009MaRDI QIDQ391018

Ali Suri

Publication date: 9 January 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2013.07.009

zbMATH Keywords

Banach vector bundlesbundle of accelerationfirst and second order auto-parallelfirst and second order connectionsecond order exponential map

Mathematics Subject Classification ID

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

Related Items (5)

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 ⋮ On the geometry of the Schmidt-Legendre transformation ⋮ Higher order tangent bundles

Cites Work

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• Second order tangent bundles of infinite dimensional manifolds
• Transformations of linear connections
• Second order connections
• Smooth partitions of unity over Banach manifolds
• Transformations of linear connections. II
• Infinite-dimensional second order ordinary differential equations via \(T^{2}M\)
• Lusternik-Schnirelman theory on Banach manifolds
• Connections on tangent bundles
• Geometry of manifolds of maps
• On the Geometry of the Tangent Bundle.
• Smooth Partitions of Unity on Manifolds

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