Geometry of Routh reduction

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doi:10.3934/jgm.2019002

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2019, Volume 11, Issue 1: 23-44. Doi: 10.3934/jgm.2019002

This issue Previous Article Modified equations for variational integrators applied to Lagrangians linear in velocities Next Article Linear phase space deformations with angular momentum symmetry

Geometry of Routh reduction

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Faculty of Physics, University of Warsaw, ul. Pasteura 5, 02-093 Warszawa, Poland

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Received: February 2018

Revised: December 2018

Published: January 2019

Research founded by the Polish National Science Centre grant under the contract number DEC-2012/06/A/ST1/00256

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Abstract

The Routh reduction for Lagrangian systems with cyclic variable is presented as an example of a Lagrangian reduction. It appears that the Routhian, which is a generating object of reduced dynamics, is not a function any more but a section of a bundle of affine values.

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Mathematics Subject Classification: Primary: 51P05, 70H33, 37J15; Secondary: 70H03.

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