MATS1980 Riemannian geometry (4 cr)

The course is an introduction to Riemannian geometry. Riemannian manifolds: Riemannian metric, geodesics, exponential mapping, isometries, curvature etc

After passing the course successfully the student

• knows the meaning of the metric in Riemannian geometry
  
• can describe geodesics in simple cases
• knows the connection between geodesics and the exponential map
• can recognize different isometric versions of Riemannian manifolds
• knows the basic properties of Riemannian curvature tensor

MATS1960 Introduction to manifolds