Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings

DOI10.3934/jgm.2014.6.503zbMath1304.70029arXiv1401.6970OpenAlexW3099033353MaRDI QIDQ2514346

Katarzyna Grabowska, Janusz Grabowski, Paweł Urbański

Publication date: 3 February 2015

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.6970

zbMATH Keywords

variational calculusHamiltonian formalismminimal surfacesLagrange formalismdouble vector bundlesTulczyjew triples

Mathematics Subject Classification ID

Jets in global analysis (58A20) Applications of global differential geometry to the sciences (53C80) Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Natural bundles (58A32)

Related Items (7)

VB-structures and generalizations ⋮ Tulczyjew’s triplet with an Ehresmann connection I: Trivialization and reduction ⋮ Connections adapted to non-negatively graded structures ⋮ On the geometry of the Schmidt-Legendre transformation ⋮ Duality for graded manifolds ⋮ Linear duals of graded bundles and higher analogues of (Lie) algebroids ⋮ Introduction to graded bundles

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