Relativistic mechanics in a general setting

@inproceedings{GSardanashvily2010RelativisticMI,
  title={Relativistic mechanics in a general setting},
  author={G.Sardanashvily},
  year={2010}
}
Relativistic mechanics on an arbitrary manifold is formulated in the terms of jets of its one-dimensional submanifolds. A generic relativistic Lagrangian is constructed. Relativistic mechanics on a pseudo-Riemannian manifold is particularly considered. 
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2 Citations
Background Citations
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2 Citations

Lagrangian dynamics of submanifolds. Relativistic mechanics

Geometric formulation of Lagrangian relativistic mechanics in the terms of jets of one-dimensional submanifolds is generalized to Lagrangian theory of submanifolds of arbitrary dimension.

Fibre bundle formulation of time-dependent mechanics

We address classical and quantum mechanics in a general setting of arbitrary time-dependent transformations. Classical non-relativistic mechanics is formulated as a particular field theory on smooth…

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