Prof.Dr.Hans-Bert
Rademacher
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Lecture
Global Analysis and
Geometry
Monday 9:15 -- 10:45, Paulinum
P 801
Tuesday 9:15 -- 10:45, Paulinum P 701
Start: October,
13
Topics:
Periodic
or closed geodesics on a compact Riemannian manifold
are of
importance for the study of the geometry of the manifold.
The
existence of closed geodesic can be studied using critical point
theory
for the energy functional on the free loop space of the
manifold. The topology
of the free loop space allows to present
existence results. In case of positive
curvature also geometric
methods come into play.
References:
W.Klingenberg: Riemannian Geometry, 2nd. rev. ed., deGruyter Berlin 1995 Springer Link
A. Oancea: Morse theory, closed geodesics, and the homology of the free loop space, arXiv:1406.3107
Students:
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Seminar Metric Geometry
Monday 11:15 -- 12:45, Augusteum A 314
Start: October, 13
Topics:
Metric
geometry generalizes geometric concepts known
from differential
geometry to metric spaces without
assumptions about the smoothness of objects.
This includes
spaces which are limits of smooth Riemannian
manifolds.
Reference:
D.Burago,
Y.Burago, S.Ivanov: A course in metric geometry, Grad.Studies
Math. 33, Amer.Math.Soc. 2001
(avalaible from the authors'
homepage)
Students:
List
of
talks
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Oberseminar Differentialgeometrie
Research seminar, talks will be announced
Monday 13:15 -- 14:45 Augusteum A 314
__________________________________________________________________________________________2025-09-25
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