Riemannian Geometry

10 credits

Course, Master's level, 1MA335

Spring 2025 Spring 2025, Uppsala, 33%, On-campus, English Only available as part of a programme

Spring 2025 Spring 2025, Uppsala, 33%, On-campus, English For exchange students

About the course

Parallel transport: connections, covariant derivate, curvature. The Yang-Mills functional, Levi-Civita connections. Geodesics: first and second variations of arc length, Jacobi fields, conjugate points, comparison theorems. The fundamental group, the theorem of Seifert-van Kampen, existence theorems of geodesics, spaces of curves in Riemannian manifolds.

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