Hamiltonian description of systems with Lagrangians depending on extrinsic curvatures on curved spaces
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- Aghamalyan, D.A. J. Contemp. Phys. (2008) 43: 261. doi:10.3103/S1068337208060017
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Method of Hamiltonian description of systems on curved spaces, with reparametrizationinvariant generic Lagrangians (i.e., those which are functions of extrinsic curvatures of particle paths) is proposed based on use of Frenet formulas for a moving frame. It is shown that the algebras of constrains in the systems on constant-curvature spaces and Euclidean spaces are isomorphic to each other.