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dc.contributor.advisor Wolf, Michael
dc.creatorDouglas, Casey
dc.date.accessioned 2011-07-25T01:38:32Z
dc.date.available 2011-07-25T01:38:32Z
dc.date.issued 2009
dc.identifier.urihttps://hdl.handle.net/1911/61835
dc.description.abstract The singly periodic, genus one helicoid is conjectured to be the limit of a one parameter family of doubly periodic minimal surfaces referred to as Perturbed Genus One Scherk Surfaces. Using elementary elliptic function theory, we show such surfaces exist, solving a two-dimensional period problem by perturbing a one-dimensional problem. Using flat structures associated to these minimal surfaces, we then verify the conjecture.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectMathematics
dc.title Perturbed, Genus One Scherk Surfaces and their limits
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Chemistry
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy
dc.identifier.citation Douglas, Casey. "Perturbed, Genus One Scherk Surfaces and their limits." (2009) Diss., Rice University. https://hdl.handle.net/1911/61835.


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