nLab
Euler-Arnold equation

Context

Differential geometry

differential geometry

synthetic differential geometry

Axiomatics

Models

Concepts

Theorems

Applications

Physics

physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

experiment, measurement, computable physics

Equality and Equivalence

Contents

Idea

The Euler-Arnold equation governs Hamiltonian dynamics on Lie groups.

References

The original influential is

  • Vladimir Arnol'd, Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l’hydrodynamique des fluides parfaits. Ann. Inst. Fourier (Grenoble) 16 (1966) fasc. 1, 319–361. (MathSciNet)

A survey is in

  • Terence Tao, The Euler-Arnold equation (web)

  • Hernan Cendra, Jerrold Marsden, Sergey Pekarsky, Tudor Ratiu?, Variational principles for Lie-Poisson and Hamiltonpincaré equations_ (pdf)

Revised on September 18, 2012 00:15:16 by Urs Schreiber (82.169.65.155)