19214301
Lecture
SoSe 19: Differential Geometry II
Ahmad Al-Afuni
Comments
This course shall deal with Riemannian geometry in the large. It shall be a continuation of Differential Geometry I and also serve as preparation for modern developments in geometric analysis and mathematical physics. Its content shall be a selection of the following topics:
- basic notions of differential topology
- geodesics, the exponential mapping and the Hopf-Rinow theorem
- comparison theorems and connections between curvature and topology
- differential forms, Stokes' theorem and de Rham cohomology
- spaces of constant curvature, Lie groups and homogeneous spaces
- isometries, Killing fields and the Myers-Steenrod theorem
Literature: to be announced.
close14 Class schedule
Regular appointments
Tue, 2019-04-09 10:00 - 14:00
Tue, 2019-04-16 10:00 - 14:00
Tue, 2019-04-23 10:00 - 14:00
Tue, 2019-04-30 10:00 - 14:00
Tue, 2019-05-07 10:00 - 14:00
Tue, 2019-05-14 10:00 - 14:00
Tue, 2019-05-21 10:00 - 14:00
Tue, 2019-05-28 10:00 - 14:00
Tue, 2019-06-04 10:00 - 14:00
Tue, 2019-06-11 10:00 - 14:00
Tue, 2019-06-18 10:00 - 14:00
Tue, 2019-06-25 10:00 - 14:00
Tue, 2019-07-02 10:00 - 14:00
Tue, 2019-07-09 10:00 - 14:00