AV-differential geometry: Euler–Lagrange equations
نویسندگان
چکیده
منابع مشابه
AV-differential geometry: Euler-Lagrange equations
A general, consistent and complete framework for geometrical formulation of mechanical systems is proposed, based on certain structures on affine bundles (affgebroids) that generalize Lie algebras and Lie algebroids. This scheme covers and unifies various geometrical approaches to mechanics in the Lagrangian and Hamiltonian pictures, including time-dependent lagrangians and hamiltonians. In our...
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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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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2007
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2007.04.003