TL;DR
This paper provides lecture notes on the geometry of geodesics, covering fundamental concepts in differential and Riemannian geometry with exercises to aid understanding.
Contribution
It offers an accessible introduction to geodesic geometry, including exercises, suitable for students with basic differential geometry background.
Findings
Clarifies properties of geodesics in Riemannian manifolds
Includes exercises to reinforce understanding
Provides foundational knowledge for further study
Abstract
These are lecture notes for the course "MATS4120 Geometry of geodesics" given at the University of Jyv\"askyl\"a in Spring 2020. Basic differential geometry or Riemannian geometry is useful background but is not strictly necessary. Exercise problems are included, and problems marked important should be solved as you read to ensure that you are able to follow.
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Taxonomy
TopicsWinter Sports Injuries and Performance