Lagrangian dynamics of submanifolds. Relativisticmechanics

Gennadi Sardanashvily

doi:10.3934/jgm.2012.4.99

Article Contents

2012, Volume 4, Issue 1: 99-110. Doi: 10.3934/jgm.2012.4.99

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Lagrangian dynamics of submanifolds. Relativistic mechanics

Gennadi Sardanashvily^1,

1.
Department of Theoretical Physics, Moscow State University, Moscow

Received: September 2011

Revised: January 2012

Published: March 2012

Abstract / Introduction Related Papers Cited by

Abstract

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.

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Mathematics Subject Classification: Primary: 58A20, 70H40; Secondary: 83A05.

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References

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