19214301
Lecture
SoSe 22: Differential Geometry II
Konrad Polthier, Henriette-Sophie Lipschütz
Comments
In the lecture, basic topics in Riemannian Geometry are treated from a theoretical point of view and illustrated with several examples.
Content: digest of the following topics:
- Exponential map and HopfRinow theorem
- Riemannian manifolds and metrics, Riemannian curvature tensor
- LeviCivita connection
- Connections between curvature und topology (e.g. Myers theorem, HadamardCartan theorem, Klingenberg theorem, rigidity theorems)
- Closed geodesics
- Stokes theorem, cohomology
- Spaces of constant curvature, Lie groups, symmetric and homogeneous spaces
- Discretization and numerical application
Literature: will be announced in the lecture.
close14 Class schedule
Regular appointments
Wed, 2022-04-20 10:00 - 14:00
Differentialgeometrie II
Wed, 2022-04-27 10:00 - 14:00
Differentialgeometrie II
Wed, 2022-05-04 10:00 - 14:00
Differentialgeometrie II
Wed, 2022-05-11 10:00 - 14:00
Differentialgeometrie II
Wed, 2022-05-18 10:00 - 14:00
Differentialgeometrie II
Wed, 2022-05-25 10:00 - 14:00
Differentialgeometrie II
Wed, 2022-06-01 10:00 - 14:00
Differentialgeometrie II
Wed, 2022-06-08 10:00 - 14:00
Differentialgeometrie II
Wed, 2022-06-15 10:00 - 14:00
Differentialgeometrie II
Wed, 2022-06-22 10:00 - 14:00
Differentialgeometrie II
Wed, 2022-06-29 10:00 - 14:00
Differentialgeometrie II
Wed, 2022-07-06 10:00 - 14:00
Differentialgeometrie II
Wed, 2022-07-13 10:00 - 14:00
Differentialgeometrie II
Wed, 2022-07-20 10:00 - 14:00
Differentialgeometrie II