19214301
Lecture
SoSe 18: Differentialgeometrie II
Konrad Polthier
Comments
Content: digest of the following topics:
- exponential map and Hopf-Rinow theorem
- Riemannian manifolds and metrics, Riemannian curvature tensor
- Levi-Civita connection
- connections between curvature und topology (Myers theorem, Hadamard-Cartan theorem, Klingenberg theorem, rigidity theorems)
- closed geodesics
- Stokes theorem, cohomology
- spaces of constant curvature, Lie groups, symmetric and homogeneous spaces
- discretization, numerical application
Literature: will be announced in the lecture.
Actual infromation can be found on the course webpage of the working group:
http://www.mi.fu-berlin.de/en/math/groups/ag-geom/teaching/18_SoSe/DifferentialGeometryII/index.html
closeSuggested reading
- M. Hirsch: Differential topology
- W. Boothby: An Introduction to Differentiable Manifolds and Riemannian Geometry
- J. Lee: Introduction to Smooth Manifolds
27 Class schedule
Regular appointments
Mon, 2018-04-16 12:00 - 14:00
Mon, 2018-04-23 12:00 - 14:00
Mon, 2018-04-30 12:00 - 14:00
Mon, 2018-05-07 12:00 - 14:00
Mon, 2018-05-14 12:00 - 14:00
Mon, 2018-05-28 12:00 - 14:00
Mon, 2018-06-04 12:00 - 14:00
Mon, 2018-06-11 12:00 - 14:00
Mon, 2018-06-18 12:00 - 14:00
Mon, 2018-06-25 12:00 - 14:00
Mon, 2018-07-02 12:00 - 14:00
Mon, 2018-07-09 12:00 - 14:00
Mon, 2018-07-16 12:00 - 14:00
Wed, 2018-04-18 12:00 - 14:00
Wed, 2018-04-25 12:00 - 14:00
Wed, 2018-05-02 12:00 - 14:00
Wed, 2018-05-09 12:00 - 14:00
Wed, 2018-05-16 12:00 - 14:00
Wed, 2018-05-23 12:00 - 14:00
Wed, 2018-05-30 12:00 - 14:00
Wed, 2018-06-06 12:00 - 14:00
Wed, 2018-06-13 12:00 - 14:00
Wed, 2018-06-20 12:00 - 14:00
Wed, 2018-06-27 12:00 - 14:00
Wed, 2018-07-04 12:00 - 14:00
Wed, 2018-07-11 12:00 - 14:00
Wed, 2018-07-18 12:00 - 14:00