Differential geometry studies the local and global properties of curved spaces. Topics of the lecture will be: curves and surfaces in Euclidean space, differentiable manifolds, vector bundles, especially the tangent bundle, tensors, Riemannian manifolds, connections, curvature tensors, the geometry of submanifolds, geodesics, and some theorems from global differential geometry.
Studenten im Bachelorstudiengang Studenten im Masterstudiengang können dieses Seminar im Rahmen des Moduls "Differentialgeometrie III" oder "Visualisierung" wählen.
