Frame-independent formulation of Newtonian mechanics
نویسنده
چکیده
Based on ideas of W. M. Tulczyjew, a frame independent formulation of analytical mechanics in the Newtonian space-time is presented. The differential geometry of affine values i.e., the differential geometry in which affine bundles replace vector bundles and sections of one dimensional affine bundles replace functions on manifolds, is used. Lagrangian and hamiltonian generating objects, together with the Legendre transformation independent on inertial frame are constructed. MSC 2000: 70G45, 70H03, 70H05
منابع مشابه
AV-differential geometry and Newtonian mechanics
A frame independent formulation of analytical mechanics in the Newtonian space-time is presented. The differential geometry of affine values (AV-differential geometry) i.e., the differential geometry in which affine bundles replace vector bundles and sections of one dimensional affine bundles replace functions on manifolds, is used. Lagrangian and hamiltonian generating objects, together with t...
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