Integrable geodesic flows on Riemannian manifolds: Construction and Obstructions

Abstract

This paper is a review of recent and classical results on integrable geodesic flows on Riemannian manifolds and topological obstructions to integrability. We also discuss some open problems.

37 pages

Cited by in corpus (3)

• Open Problems, Questions, and Challenges in Finite-Dimensional Integrable Systems
• Integrable discretization and deformation of the nonholonomic Chaplygin ball
• Invariant Nijenhuis Tensors and Integrable Geodesic Flows