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Minimalytor och Björlings problem
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2004 (Swedish)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

This paper gives an introduction to the theory of minimal surfaces. It is in- tended for undergraduate students with some basic knowledge of differential geometry and complex analysis.

After defining the concept of minimal surface and giving a brief histo- rical survey, we look at some well-known minimal surfaces and a few of their characteristic properties. The connection between minimal surfaces and harmonic functions is discussed and the Weierstrass-Enneper represen- tation formulas are introduced. We also present Björling’s problem and give some examples. 

Place, publisher, year, edition, pages
2004. , 61 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-51322OAI: oai:DiVA.org:umu-51322DiVA: diva2:479024
Uppsok
Physics, Chemistry, Mathematics
Available from: 2012-03-01 Created: 2012-01-17 Last updated: 2012-03-01Bibliographically approved

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fulltext(979 kB)121 downloads
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12792729e1f067edaf47b9a21c37b5efbe0306dced3e6628ebd324a2e733aaac5c26685df22613d566f4e7eedbd97168e6221d948d887c99bc5521ec74f2a1c6
Type fulltextMimetype application/pdf

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CiteExportLink to record
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Citation style
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