Geometry of Routh reduction

2017/08/31 by Katarzyna Grabowska, Grabowska, Katarzyna, Paweł Urbański +1
Mathematics · Physics and Astronomy · #53Z05 #70E99 #70H03 #70H05 #70H33 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:53Z05 #msc:70E99 #msc:70H03 #msc:70H05 #msc:70H33

paper · pdf · doi:10.48550/arxiv.1708.09769

arxiv created 2017/08/31 · arxiv updated 2017/09/01

Abstract

Routh reduction for Lagrangian systems with cyclic variable is presented as an example of Lagrangian reduction. It appears that 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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