401-3531-00L  Differential Geometry I

SemesterAutumn Semester 2014
LecturersT. Ilmanen
Periodicityyearly recurring course
Language of instructionEnglish


AbstractIn rough terms, we will cover curves in Euclidean space, submanifolds of Euclidean space, and elements of abstract differential and Riemannian geometry. We will cover the following "big" theorems: Jordan curve theorem, theorems of Jellett-Liebmann, Hopf-Rinow, Bonnet-Myers, Gauss-Bonnet, and Hadamard.
ObjectiveIntroduction to differential geometry