- AutorIn
- Hannes Hasselberger
- Titel
- The existence of infinitely many closed geodesics on a riemannian manifold, containing an isolated prime closed geodesic with maximal index growth
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:15-qucosa2-165517
- Schriftenreihe
- Abschluss- und Qualifikationsarbeiten aus der Fakultät für Mathematik und Informatik
- Datum der Einreichung
- 01.08.2012
- Abstract (EN)
- There are two main approaches to solve the problem of finding closed geodesics on a Riemannian manifold M. The variational approach views a closed geodesic as a closed curve which happens to be a geodesic and it looks for critical points of the energy functional, while the dynamical systems approach views a closed geodesic as a geodesic which happens to close up and looks for periodic orbits of the geodesic ow on the unit tangent bundle.
- Freie Schlagwörter (EN)
- closed geodesics, tangent bundle, birkhof map
- Klassifikation (DDC)
- 000
- BetreuerIn Hochschule / Universität
- Prof. Dr. Hans-Bert Rademacher
- Den akademischen Grad verleihende / prüfende Institution
- Universität Leipzig, Leipzig
- Version / Begutachtungsstatus
- angenommene Version / Postprint / Autorenversion
- URN Qucosa
- urn:nbn:de:bsz:15-qucosa2-165517
- Veröffentlichungsdatum Qucosa
- 20.10.2017
- Dokumenttyp
- Diplomarbeit
- Sprache des Dokumentes
- Englisch
- Deutsch