Geometry of geodesicsLaajuus (5 cr)
Course unit code: C-01906-MATS4120
General information
- Credits
- 5 cr
- Institution
- University of Jyväskylä
Objective
After completing the course the student will be familiar with: - Riemannian manifolds and their geodesics - the geodesic flow and the structure of the tangent bundle - Jacobi fields and exponential maps
Content
Riemannian manifolds, tangent bundle, geodesic equation, parallel transport, geodesic flow, Jacobi fields, exponential map.
Qualifications
The knowledge of differential geometry and Riemannian geometry are very useful but not strictly necessary. Multivariate calculus is required.