On the existence of geodesic vector fields on closed surfaces

Abstract

We construct an example of a Riemannian metric on the 2-torus such that its universal cover does not admit global Riemann normal coordinates.

4 pages, 1 figure. Certain misprints corrected

References in corpus (2)

• Open problems and questions about geodesics
• Open Problems, Questions, and Challenges in Finite-Dimensional Integrable Systems