A distinguished geometry perspective on multi-time affine quadratic Lagrangians

Publication date: 26 October 2016

Abstract: For a space endowed with a general quadratic multi-time Lagrangian and an associated non-linear connection, the paper constructs the main Riemann-Lagrange distinguished geometric objects (linear connection, torsion and curvature).

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

This page was built for publication: A distinguished geometry perspective on multi-time affine quadratic Lagrangians

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6279404)