Talk
Global analysis and geometry
Monday P 801, Tuesday P 701, Paulinum, Augustusplatz 10
University of Leipzig (Leipzig)
Abstract
Next lectures
08.12.2025, 09:15 (Raum P801)
09.12.2025, 09:15 (Uni P-701)
15.12.2025, 09:15 (Raum P801)
16.12.2025, 09:15 (Uni P-701)
22.12.2025, 09:15 (Raum P801)
23.12.2025, 09:15 (Uni P-701)
29.12.2025, 09:15 (Raum P801)
30.12.2025, 09:15 (Uni P-701)
05.01.2026, 09:15 (Raum P801)
06.01.2026, 09:15 (Uni P-701)
12.01.2026, 09:15 (Raum P801)
13.01.2026, 09:15 (Uni P-701)
19.01.2026, 09:15 (Raum P801)
20.01.2026, 09:15 (Uni P-701)
26.01.2026, 09:15 (Raum P801)
27.01.2026, 09:15 (Uni P-701)
02.02.2026, 09:15 (Raum P801)
03.02.2026, 09:15 (Uni P-701)
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.
Keywords
Closed geodesics, Riemannian geometry, Critical point theory, Free loop space, Morse theory
Prerequisites
differential geometry, algebraic topology
Language
English
