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Shortest paths and geodesics in metric spaces
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2013 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

This thesis is divided into three part, the first part concerns metric spaces and specically length spaces where the existence of shortest path between points is the main focus. In the second part, an example of a length space, the Riemannian geometry will be given. Here both a classical approach to Riemannian geometry will be given together with specic results when considered as a metric space. In the third part, the Finsler geometry will be examined both with a classical approach and trying to deal with it as a metric space.

Place, publisher, year, edition, pages
2013. , 158 p.
Keyword [en]
Metric space, Length space, Riemannian geometry, Finsler geometry
National Category
Natural Sciences Geometry
Identifiers
URN: urn:nbn:se:umu:diva-66732OAI: oai:DiVA.org:umu-66732DiVA: diva2:609061
Uppsok
Physics, Chemistry, Mathematics
Available from: 2013-05-20 Created: 2013-03-04 Last updated: 2013-05-20Bibliographically approved

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Department of Mathematics and Mathematical Statistics
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CiteExportLink to record
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