Geometric mechanics, Lagrangian reduction, and nonholonomic systems

By H. Cendra, Jerrold E. Marsden, Tudor S. Ratiu. 2001

161 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/70a5c9e2fa5b113ea9a708a7fe3cb338420868ad

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Jerrold E. Marsden
2. Jürgen Scheurle
3. Tudor S. Ratiu
4. Romeo Ortega
5. J. Alexander Fax

In Geometry and Topology

1. Jerrold E. Marsden
2. Jürgen Scheurle
3. Tudor S. Ratiu
4. Y. Kosmann-Schwarzbach

In Mathematical Physics

1. Jerrold E. Marsden
2. Tudor S. Ratiu
3. Jürgen Scheurle
4. Y. Kosmann-Schwarzbach
5. Patricio A. Vela
6. H. Bursztyn

Citations in the corpus

• Reduction theory and the Lagrange-Routh equations (2000, methodology): “26 The work of Bloch et al. ͓1996͔ 17 generalized the Euler– Poincaré variational structure to general Lie groups and Cendra, Marsden, and Ratiu ͓2000͔ 28 carried out a Lagrangian reduction theory that extends the Euler–Poincaré case to arbitrary configuration manifolds.”
• Quasi, twisted, and all that... in Poisson geometry and Lie algebroid theory (2003, background): “There is a large literature on the subject; see for instance [25] [15] [11] and the many references cited there.”