Differential geometry is about curved manifolds. The course gives an introduction to curves and surfaces in two- and three-dimensional space.
The central concept is curvature. In the geometry of curved surfaces, geodesics play the role of straight lines in the plane as the locally shortest way between two points. At the end, we treat the Gauss-Bonnet theorem, which connects the integral of the curvature with the topological properties of the surface.Syllabus
The course is given
- in the second half of spring
- every second year
Course information 2017
The course is cancelled this year