Moving frames for cotangent bundles

Abstract

Cartan's moving frames method is a standard tool in riemannian geometry. We set up the machinery for applying moving frames to cotangent bundles and its sub-bundles defined by non-holonomic constraints.

13 pages, to appear in Rep. Math. Phys

References in corpus (1)

• Nonholonomic systems with symmetry allowing a conformally symplectic reduction

Cited by in corpus (6)

• Nonholonomic Hamilton-Jacobi Theory via Chaplygin Hamiltonization
• Rubber rolling over a sphere
• The Jacobiator of nonholonomic systems and the geometry of reduced nonholonomic brackets
• Reduction of Almost Poisson brackets and Hamiltonization of the Chaplygin Sphere
• Nonholonomic systems with symmetry allowing a conformally symplectic reduction
• $G$-Chaplygin systems with internal symmetries, truncation, and an (almost) symplectic view of Chaplygin's ball