Closed geodesics on surfaces

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dc.bibliographicCitation.seriesTitleSnapshots of Modern Mathematics from Oberwolfacheng
dc.bibliographicCitation.volume13/2022
dc.contributor.authorDozier, Benjamin
dc.date.accessioned2024-10-16T13:55:13Z
dc.date.available2024-10-16T13:55:13Z
dc.date.issued2022
dc.description.abstractWe consider surfaces of three types: the sphere, the torus, and many-holed tori. These surfaces naturally admit geometries of positive, zero, and negative curvature, respectively. It is interesting to study straight line paths, known as geodesics, in these geometries. We discuss the issue of counting closed geodesics; this is particularly rich for hyperbolic (negatively curved) surfaces.
dc.description.versionpublishedVersion
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/16869
dc.identifier.urihttps://doi.org/10.34657/15891
dc.language.isoeng
dc.publisherOberwolfach : Mathematisches Forschungsinstitut Oberwolfach gGmbH
dc.relation.doihttps://doi.org/10.14760/SNAP-2022-013-EN
dc.relation.essn2626-1995
dc.rights.licenseCC BY-SA 4.0 Unported
dc.rights.urihttp://creativecommons.org/licenses/by-sa/4.0/
dc.subject.ddc510
dc.subject.otherGeometry and Topology
dc.titleClosed geodesics on surfaces
dc.typeReport
dc.typeText
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