English

Geometry of Routh reduction

Mathematical Physics 2017-09-01 v1 math.MP

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.

Keywords

Cite

@article{arxiv.1708.09769,
  title  = {Geometry of Routh reduction},
  author = {Katarzyna Grabowska and Paweł Urbański},
  journal= {arXiv preprint arXiv:1708.09769},
  year   = {2017}
}
R2 v1 2026-06-22T21:29:20.424Z