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.

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14 Class schedule

Regular appointments

Wed, 2022-04-20 10:00 - 14:00
Differentialgeometrie II

Lecturers:
Henriette-Sophie Lipschütz
Univ.-Prof. Dr. Konrad Polthier

Location:
A6/SR 025/026 Seminarraum (Arnimallee 6)

Wed, 2022-04-27 10:00 - 14:00
Differentialgeometrie II

Lecturers:
Henriette-Sophie Lipschütz
Univ.-Prof. Dr. Konrad Polthier

Location:
A6/SR 025/026 Seminarraum (Arnimallee 6)

Wed, 2022-05-04 10:00 - 14:00
Differentialgeometrie II

Lecturers:
Henriette-Sophie Lipschütz
Univ.-Prof. Dr. Konrad Polthier

Location:
A6/SR 025/026 Seminarraum (Arnimallee 6)

Wed, 2022-05-11 10:00 - 14:00
Differentialgeometrie II

Lecturers:
Henriette-Sophie Lipschütz
Univ.-Prof. Dr. Konrad Polthier

Location:
A6/SR 025/026 Seminarraum (Arnimallee 6)

Wed, 2022-05-18 10:00 - 14:00
Differentialgeometrie II

Lecturers:
Henriette-Sophie Lipschütz
Univ.-Prof. Dr. Konrad Polthier

Location:
A6/SR 025/026 Seminarraum (Arnimallee 6)

Wed, 2022-05-25 10:00 - 14:00
Differentialgeometrie II

Lecturers:
Henriette-Sophie Lipschütz
Univ.-Prof. Dr. Konrad Polthier

Location:
A6/SR 025/026 Seminarraum (Arnimallee 6)

Wed, 2022-06-01 10:00 - 14:00
Differentialgeometrie II

Lecturers:
Henriette-Sophie Lipschütz
Univ.-Prof. Dr. Konrad Polthier

Location:
A6/SR 025/026 Seminarraum (Arnimallee 6)

Wed, 2022-06-08 10:00 - 14:00
Differentialgeometrie II

Lecturers:
Henriette-Sophie Lipschütz
Univ.-Prof. Dr. Konrad Polthier

Location:
A6/SR 025/026 Seminarraum (Arnimallee 6)

Wed, 2022-06-15 10:00 - 14:00
Differentialgeometrie II

Lecturers:
Henriette-Sophie Lipschütz
Univ.-Prof. Dr. Konrad Polthier

Location:
A6/SR 025/026 Seminarraum (Arnimallee 6)

Wed, 2022-06-22 10:00 - 14:00
Differentialgeometrie II

Lecturers:
Henriette-Sophie Lipschütz
Univ.-Prof. Dr. Konrad Polthier

Location:
A6/SR 025/026 Seminarraum (Arnimallee 6)

Wed, 2022-06-29 10:00 - 14:00
Differentialgeometrie II

Lecturers:
Henriette-Sophie Lipschütz
Univ.-Prof. Dr. Konrad Polthier

Location:
A6/SR 025/026 Seminarraum (Arnimallee 6)

Wed, 2022-07-06 10:00 - 14:00
Differentialgeometrie II

Lecturers:
Henriette-Sophie Lipschütz
Univ.-Prof. Dr. Konrad Polthier

Location:
A6/SR 025/026 Seminarraum (Arnimallee 6)

Wed, 2022-07-13 10:00 - 14:00
Differentialgeometrie II

Lecturers:
Henriette-Sophie Lipschütz
Univ.-Prof. Dr. Konrad Polthier

Location:
A6/SR 025/026 Seminarraum (Arnimallee 6)

Wed, 2022-07-20 10:00 - 14:00
Differentialgeometrie II

Lecturers:
Henriette-Sophie Lipschütz
Univ.-Prof. Dr. Konrad Polthier

Location:
A6/SR 025/026 Seminarraum (Arnimallee 6)

Subjects A - Z