The geometry of higher-order Hamilton spaces. Applications to Hamiltonian mechanics

zbMath1044.53054arXiv1003.2501MaRDI QIDQ1411790

Radu Miron

Publication date: 30 October 2003

Published in: Fundamental Theories of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2501

zbMATH Keywords

Poisson structurecontact structureFinsler spaceconnectiondual bundleCartan spacehigher-order Hamilton spacehigher-order Lagrange space

Mathematics Subject Classification ID

Jets in global analysis (58A20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Connections (general theory) (53C05) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02)

Related Items (9)

Hamiltonian analysis for linearly acceleration-dependent Lagrangians ⋮ On the geometry of the movements of particles in a Hamilton space ⋮ A new multisymplectic unified formalism for second order classical field theories ⋮ On the concept of a filtered bundle ⋮ Graded bundles and homogeneity structures ⋮ On the \(\mathcal{L}\)-duality of a Finsler space with exponential metric \({\alpha}e^{\beta/\alpha}\) ⋮ Affine Hamiltonians in higher order geometry ⋮ On general solutions for field equations in Einstein and higher dimension gravity ⋮ Linear duals of graded bundles and higher analogues of (Lie) algebroids

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