Hamiltonian description of systems with Lagrangians depending on extrinsic curvatures on curved spaces

  • D. A. Aghamalyan
Article

DOI: 10.3103/S1068337208060017

Cite this article as:
Aghamalyan, D.A. J. Contemp. Phys. (2008) 43: 261. doi:10.3103/S1068337208060017

Abstract

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.

Key words

systems on curved space Lagrangian Hamiltonian description 

PACS numbers

04.62.+v 

Copyright information

© Allerton Press, Inc. 2008

Authors and Affiliations

  • D. A. Aghamalyan
    • 1
  1. 1.Yerevan State UniversityYerevanArmenia

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