Nonholonomic algebroids, Finsler geometry, and Lagrange-Hamilton spaces

DOI10.1186/2251-7456-6-18zbMath1264.70039arXiv0705.0032OpenAlexW3105597896WikidataQ59288699 ScholiaQ59288699MaRDI QIDQ1953803

Sergiu I. Vacaru

Publication date: 10 June 2013

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.0032

zbMATH Keywords

Lie algebroidsLagrangenonlinear connectionnonholonomic manifoldgeometric mechanics and gravity theoriesHamilton and Riemann-Finsler spaces

Mathematics Subject Classification ID

Hamilton's equations (70H05) General relativity (83C99) Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Lagrange's equations (70H03)

Related Items

Distinguished connections on Finsler algebroids ⋮ Berwald-type and Yano-type connections on Lie algebroids ⋮ Killing sections and sigma models with Lie algebroid targets ⋮ Weyl’s theory in the generalized Lie algebroids framework ⋮ Almost Kähler Ricci flows and Einstein and Lagrange-Finsler structures on Lie algebroids ⋮ Study on geometric structures on Lie algebroids with optimal control applications ⋮ Generalized almost contact structures on Lie algebroids ⋮ (Pseudo) generalized Kaluza–Klein G-spaces and Einstein equations

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