Autoparallel variational description of the free relativistic top third-order dynamics. (English) Zbl 1068.70022

Kowalski, Oldřich (ed.) et al., Differential geometry and its applications. Proceedings of the 8th international conference, Opava, Czech Republic, August 27–31, 2001. Opava: Silesian University at Opava (ISBN 80-7248-166-5/hbk). Math. Publ. (Opava) 3, 447-459 (2001).
Summary: Starting from general requirements of invariance and “variationality”, we suggest a second-order variational description of autoparallel curves of some differential-geometric connections for third-order Mathisson’s “new mechanics” of a relativistic free spinning particle.
For the entire collection see [Zbl 1008.00021].


70H40 Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics
70G75 Variational methods for problems in mechanics
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