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dc.contributor.advisor Wolf, Michael
dc.creatorKim, Soomin
dc.date.accessioned 2009-06-03T21:10:48Z
dc.date.available 2009-06-03T21:10:48Z
dc.date.issued 2007
dc.identifier.urihttps://hdl.handle.net/1911/20692
dc.description.abstract Minimal Surfaces are surfaces which locally minimize area. These surfaces are well-known as mathematical idealizations of soap films, one area of the calculus of variations which applies to geometric modeling. This thesis is devoted to the clas sification of minimal surfaces, specifically limits of minimal surfaces with increasing genus. In this paper, we will see that a particular well-known family of minimal surfaces, indexed by increasing genus, has a limit, and, further, that limit is nearly a well-known example. This is the first nontrivial example of a limit being taken of a family of minimal surfaces of increasing topological complexity. As a classification result, this would limit the set of possible minimal surfaces, as we would see that new surfaces would not be created through the taking of limits of existing families of surfaces in this way.
dc.format.extent 97 p.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectMathematics
dc.title Limits of minimal surfaces with increasing genus
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Mathematics
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy
dc.identifier.citation Kim, Soomin. "Limits of minimal surfaces with increasing genus." (2007) Diss., Rice University. https://hdl.handle.net/1911/20692.


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