The existence of infinitely many closed geodesics on a riemannian manifold, containing an isolated prime closed geodesic with maximal index growth

Description

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.

Links & Downloads

1. urn:nbn:de:bsz:15-qucosa2-165517
2. https://ul.qucosa.de/id/qucosa%3A16551
3. https://ul.qucosa.de/api/qucosa%3A16551/attachment/ATT-0/

Tags

info:eu-repo/classification/ddc/000

ddc:000

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:16551
Date	20 October 2017
Creators	Hasselberger, Hannes
Contributors	Rademacher, Hans-Bert, Universität Leipzig
Source Sets	Hochschulschriftenserver (HSSS) der SLUB Dresden
Language	English, German
Detected Language	English
Type	info:eu-repo/semantics/acceptedVersion, doc-type:masterThesis, info:eu-repo/semantics/masterThesis, doc-type:Text
Rights	info:eu-repo/semantics/openAccess
Relation	urn:nbn:de:bsz:15-qucosa2-163403, qucosa:16340