# Lagrangian dynamics of submanifolds. Relativistic mechanics

@article{Sardanashvily2011LagrangianDO, title={Lagrangian dynamics of submanifolds. Relativistic mechanics}, author={Gennadi A Sardanashvily}, journal={arXiv: Mathematical Physics}, year={2011} }

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.

## 4 Citations

### GEOMETRIC FORMULATION OF NON-AUTONOMOUS MECHANICS

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### Fibre bundle formulation of time-dependent mechanics

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### GEOMETRY OF LAGRANGIAN AND HAMILTONIAN FORMALISMS IN THE DYNAMICS OF STRINGS

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The Lagrangian description of mechanical systems and the Legendre Transformation
(considered as a passage from the Lagrangian to the Hamiltonian
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### MULTISYMPLECTIC GEOMETRY AND k-COSYMPLECTIC STRUCTURE FOR THE FIELD THEORIES AND THE RELATIVISTIC MECHANICS

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The aim of this work is twofold: First, we extend the multisymplectic geometry already done for field theories to the relativistic mechanics by introducing an appropriate configuration bundle. In…

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