Lagrangians adapted to submersions and foliations

DOI10.1016/j.difgeo.2008.06.017zbMath1162.53019OpenAlexW2092490459WikidataQ115357442 ScholiaQ115357442MaRDI QIDQ1012333

Paul Popescu, Marcela Popescu

Publication date: 16 April 2009

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2008.06.017

zbMATH Keywords

foliationsubmersionepimorphismbundle-like Lagrangiantransversal Lagrangian

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items

Geometric analysis of metric Legendre foliated cocycles on contact manifolds via SODE structure ⋮ Higher order transverse bundles and Riemannian foliations ⋮ On singular Finsler foliation ⋮ VERTICAL TANGENTIAL INVARIANTS ON SOME FOLIATED LAGRANGE SPACES ⋮ Foliated vector bundles and Riemannian foliations ⋮ Construction of the holonomy invariant foliated cocycles on the tangent bundle via formal integrability ⋮ Nonlinear constraints in nonholonomic mechanics ⋮ Nonlinear splittings on fibre bundles ⋮ A class of submersions and compatible maps in Finsler geometry

Cites Work

• Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
• Foliations on Riemannian manifolds
• Lagrange geometry on tangent manifolds
• The geometry of Lagrange spaces: theory and applications
• Second order Hamiltonian vector fields on tangent bundles
• Finslerian foliations of compact manifolds are Riemannian
• Lift of the Finsler foliation to its normal bundle
• Isometric submersions of Finsler manifolds
• Uniformly quasi-isometric foliations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item