This note explains the following topics: Manifolds, Tangent
spaces and the tangent bundle, Riemannian manifolds, Geodesics, The
fundamental group. The theorem of Seifert-van Kampen, Vector bundles, The
Yang-Mills functional, Curvature of Riemannian manifolds, Jacobi Fields,
Conjugate points.

**Author(s):** Andreas
Strombergsson

241**Pages**