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出版American Mathematical Soc., 2001
主題Mathematics / GeneralMathematics / AppliedMathematics / Differential Equations / GeneralMathematics / Geometry / DifferentialScience / Physics / General
ISBN08218271549780821827154
URLhttp://books.google.com.hk/books?id=mJXUCQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.