Prof. Dr. Hans-Bert Rademacher

Lehrveranstaltungen Sommersemester 2023:  


Vorlesung Differentialgeometrie 2/
Lecture Advanced differential geometry I

Mo 15:15 - 16:45,SG 3-12

Di     9:15 - 10:45, SG 2-14 (Seminargebäude)

Please enrol in this course via MOODLE (and ALMAWEB)
The course starts on April, 3

Teilnehmer/innen: (students)
- Studierende der Mathematik (Diplom), Wirtschaftsmathematik (Diplom)
- students in mathematical physics (M.Sc.)

It is a compulsary elective course in the mathematical physics program (10-MAT-MPDG1) formed by this lecture and the seminar

Topics:
After a crash course about concepts of differential geometry (connection, geodesics,
parallel transport and curvature),we investigate Riemannian manifolds.
We will discuss how curvature determines topology. In addition we will study
differential operators on Riemannian manifolds,in particular the Laplace-operator.

References:
 - Gallot, Hulin, Lafontaine: Riemannian Geometry, 3rd ed., Springer 2004
- Jost: Riemannian Geometry and Geometric Analysis, 6th ed., Springer 2011
- Petersen: Riemannian Geometry, 3rd ed., Springer 2016
_____________________________________________________________________________________

Fachseminar Differentialgeometrie/
Seminar Advanced differential geometry I

Di 13:15 - 14:45, Augusteum A-314 

Please enrol in this course via MOODLE (and ALMAWEB)
The course starts at April, 4

Teilnehmer/innen: (students)

- Studierende der Mathematik (Diplom), Wirtschaftsmathematik (Diplom)

- students in mathematical physics (M.Sc.)

It is a compulsary elective course in the mathematical physics program (10-MAT-MPDG1) formed by the lecture and the seminar

Topic: Hyperbolic Geometry
 
The n-dimensional hyperbolic space ist the simply-connected and complete Riemannian manifold
of constant negative sectional curvature -1. The topic of the seminar is the geometry of the compact
quotients of hyperbolic space, i.e. the compact Riemannian manifolds of constant negatice sectional curvature.
There is an essential difference between dimension two, in which a whole Teichmüller space of hyperbolic
structures exist, and higher dimensions, for which Mostow' rigidity holds.

Reference:
R.Benedetti, C.Petronio, Lectures on hyperbolic geometry, Springer, 1991
 
Talks:  PDF
____________________________________________________________________________________

Oberseminar Differentialgeometrie

Di 15:15 - 16:45, Augusteum A-314 

Fortgeschrittene Studierende, Mitarbeiter/innen und Gäste tragen über ihre Forschungen und aktuelle Entwicklungen vor.

_____________________________________________________________________________________________

Stundenplan (Seite der Fakultät)

2023-03-21

Zurück zur Homepage von Hans-Bert Rademacher