An affine framework for analytical mechanics

• Autorzy: Paweł Urbański
• Języki publikacji: EN

Abstrakty

EN

An affine Cartan calculus is developed. The concepts of special affine bundles and special affine duality are introduced. The canonical isomorphisms, fundamental for Lagrangian and Hamiltonian formulations of the dynamics in the affine setting are proved.

Kategorie tematyczne

• 70G45: Differential-geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.)
• 70H03: Lagrange's equations
• 58A99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 59
• Numer: 1
• Strony: 257-279

Daty

wydano

2003

Twórcy

autor

Paweł Urbański

• Division of Mathematical Methods in Physics, University of Warsaw, Hoża 74, 00-682 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc59-0-14