Lagrangian Reduction by Stages

Download or read book Lagrangian Reduction by Stages written by Hernán Cendra and published by American Mathematical Soc.. This book was released on 2001 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: This booklet studies the geometry of the reduction of Lagrangian systems with symmetry in a way that allows the reduction process to be repeated; that is, it develops a context for Lagrangian reduction by stages. The Lagrangian reduction procedure focuses on the geometry of variational structures and how to reduce them to quotient spaces under group actions. This philosophy is well known for the classical cases, such as Routh reduction for systems with cyclic variables (where the symmetry group is Abelian) and Euler-Poincare reduction (for the case in which the configuration space is a Lie group) as well as Euler-Poincare reduction for semidirect products.