Differential Geometry

Postgraduate course

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
MAT121 Linear Algebra, MAT212 Functions of Several Variables, and MAT243 Manifolds
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.