Complete lift of vector fields and sprays to T∞M

DOI10.1142/S0219887815501133zbMath1330.58005arXiv1505.01955OpenAlexW3104637200MaRDI QIDQ3455921

Somaye Rastegarzadeh, Ali Suri

Publication date: 11 December 2015

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01955

zbMATH Keywords

spraygeodesicBanach manifoldsemisprayFréchet manifoldsvertical and complete liftmanifold of closed curves

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Infinite-dimensional manifolds (46T05)

Related Items (1)

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Cites Work

• \(k\)-parameter geodesic variations
• A metric approach to Fréchet geometry
• Geometry of nonlinear connections
• On differential structure for projective limits of manifolds
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• Geometry of manifolds of maps
• Riemannsche Hilbertmannigfaltigkeiten. Periodische Geodätische. Mit einem Anhang von H. Karcher
• A COMPLETE LIFT FOR SEMISPRAYS
• The inverse function theorem of Nash and Moser
• Liftings of Tensor Fields and Connections to Tangent Bundles of Higher Order

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