×

An affine framework for analytical mechanics. (English) Zbl 1063.70011

Grabowski, Janusz (ed.) et al., Classical and quantum integrability. Dedicated to Włodzimierz Tulczyjew. Papers from the workshop, Warsaw, August 27 – September 1, 2001. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 59, 257-279 (2003).
The author develops an affine Cartan calculus for analytical mechanics. Special affine bundles and affine duality are used to establish the classical isomorphism between regular Lagrangian and Hamiltonian formalisms.
For the entire collection see [Zbl 1011.00047].

MSC:

70G45 Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics
70H03 Lagrange’s equations
70H05 Hamilton’s equations
PDFBibTeX XMLCite
Full Text: arXiv