Isomorphism classes for higher order tangent bundles

DOI10.1515/advgeom-2017-0001zbMath1386.58004arXiv1412.7321OpenAlexW2234275409MaRDI QIDQ1707391

Ali Suri

Publication date: 29 March 2018

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.7321

zbMATH Keywords

Hilbert manifoldBanach manifoldlinear connectionFréchet manifoldconnection maphigher order tangent bundlelifting of Riemannian metricsrelated connection

Mathematics Subject Classification ID

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

Related Items (2)

Second-order time-dependent tangent bundles and geometric mechanics ⋮ Higher order tangent bundles

Cites Work

• Geometry of the double tangent bundles of Banach manifolds
• Higher order tangent bundles
• Second order tangent bundles of infinite dimensional manifolds
• Transformations of linear connections
• Differential calculus in locally convex spaces
• Smooth partitions of unity over Banach manifolds
• The geometry of higher-order Lagrange spaces. Applications to mechanics and physics
• Projective limits of Banach-Lie groups
• On a differential structure for the group of diffeomorphisms
• Connections on tangent bundles
• Geometry of manifolds of maps
• Some Frobenius theorems in global analysis
• Riemannsche Hilbertmannigfaltigkeiten. Periodische Geodätische. Mit einem Anhang von H. Karcher
• Isomorphism classes for Banach vector bundle structures of second tangents
• The inverse function theorem of Nash and Moser
• Differential geometry of tangent bundles of order 2
• Liftings of Tensor Fields and Connections to Tangent Bundles of Higher Order
• Riemannian geometry.
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