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
- Location
- Uppsala
- Pace of study
- 33%
- Teaching form
- On-campus
- Instructional time
- Daytime
- Study period
- 20 January 2025–8 June 2025
- Language of instruction
- English
- Entry requirements
-
120 credits including 90 credits Mathematics. Differential topology participation. Proficiency in English equivalent to the Swedish upper secondary course English 6.
- Application deadline
- 15 October 2024
- Application code
- UU-60038
Admitted or on the waiting list?
- Registration period
- 6 January 2025–2 February 2025
- Information on registration from the department
Spring 2025 Spring 2025, Uppsala, 33%, On-campus, English For exchange students
- Location
- Uppsala
- Pace of study
- 33%
- Teaching form
- On-campus
- Instructional time
- Daytime
- Study period
- 20 January 2025–8 June 2025
- Language of instruction
- English
- Entry requirements
-
120 credits including 90 credits Mathematics. Differential topology participation. Proficiency in English equivalent to the Swedish upper secondary course English 6.
Admitted or on the waiting list?
- Registration period
- 6 January 2025–2 February 2025
- Information on registration from the department
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.