Journal
JOURNAL OF GEOMETRY AND PHYSICS
Volume 56, Issue 9, Pages 1666-1687Publisher
ELSEVIER
DOI: 10.1016/j.geomphys.2005.09.004
Keywords
Lagrangian; Euler-Lagrange equations; curvature; torsion; killing field along curves; moduli spaces
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We consider the motion of relativistic particles described by an action which is a function of the curvature and torsion of the particle path. The Euler-Lagrange equations and the dynamical constants of the motion are expressed in a simple way in terms of a suitable coordinate system. The moduli spaces of solutions in a three-dimensional pseudo-Riemannian space form are completely exhibited. (c) 2005 Elsevier B.V. All rights reserved.
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