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.
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 |
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