Differential Geometry
Postgraduate course
- ECTS credits
- 10
- Teaching semesters
- Autumn, Spring
- Course code
- MAT342
- Number of semesters
- 1
- Teaching language
- English
- Resources
- Schedule
Course description
Objectives and Content
The course gives an introduction to the techniques of differential geometry. In particular we will study connections and curvature of smooth manifolds. Further topics may wary, for example the course can cover homogeneous spaces, Lie groups, semi-Riemannian geometry and general relativity theory.
Learning Outcomes
After completed course, the students are expected to be able to:
- Explain the central topics of curvature, connection and Riemannian metric.
- Compute the curvature of spheres and hyperbolic spaces.
- Explain the relationship between distances and geodesic curves
- Computer curvature in local coordinates.
Semester of Instruction
Irregular, course will be offered if it is on this course list: Workbook: Emneliste for innreisende utvekslingsstudenter (uhad.no)
Recommended Previous Knowledge
Compulsory Assignments and Attendance
Exercises that must be approved to be able to take exam. The exercises are valid in two semester (teachingsemester and one subsequent semester)
Forms of Assessment
Oral examination
Grading Scale
The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.