Finsler geometry in classical mechanics and in Bianchi cosmological models.

Details Finsler geometry in classical mechanics and in Bianchi cosmological models. Finsler geometry in classical mechanics and in Bianchi cosmological models.

Mar 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997ncimb.112..213b&link_type=abstract

Nuovo Cimento B, Vol. 112B, No. 2 - 3, p. 213 - 224

Mathematics

Logic

1

Scientific paper

A gauge-invariant approach to study the dynamical behaviour of general Lagrangian systems is illustrated. The method is a generalization of geometrodynamical approaches based on Riemannian manifolds; it allows the study of a wider class of dynamical systems. It is well suited to treat conservative systems with few degrees of freedom and peculiar dynamical systems whose Lagrangian is not "standard", such as the one describing the so-called Mixmaster Universe. The authors present the method and apply it to some cases of interest: (1) systems with N degrees of freedom described by conservative potentials, (2) Bianchi IX cosmological models (Mixmaster Universe), (3) the restricted three-body problem.

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