Higher order transverse bundles and Riemannian foliations

DOI10.1007/s00009-013-0326-5zbMath1300.53029arXiv1301.1309OpenAlexW2057718160WikidataQ115390415 ScholiaQ115390415MaRDI QIDQ2454134

Paul Popescu

Publication date: 12 June 2014

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

Full work available at URL: https://arxiv.org/abs/1301.1309

zbMATH Keywords

Riemannian foliationhigher-order transverse bundlelifted foliationtransverse Lagrangian

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Higher-order theories for problems in Hamiltonian and Lagrangian mechanics (70H50)

Cites Work

• Foliated vector bundles and Riemannian foliations
• Lagrangians adapted to submersions and foliations
• The geometry of higher-order Lagrange spaces. Applications to mechanics and physics
• Leaves of foliations with a transverse geometric structure of finite type
• Compact finite type foliations
• Canonical semisprays for higher-order Lagrange spaces
• Affine Hamiltonians in higher order geometry
• Finslerian foliations of compact manifolds are Riemannian
• Lift of the Finsler foliation to its normal bundle
• Foliated and associated geometric structures on foliated manifolds
• Higher-order differential equations and higher-order lagrangian mechanics
• Hamiltonian structures on foliations
• Prolongations of G-Structures to Tangent Bundles of Higher Order
• Liftings of Tensor Fields and Connections to Tangent Bundles of Higher Order
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