Limits of minimal surfaces with increasing genus

Simple item page
dc.contributor.advisorWolf, Michaelen_US
dc.creatorKim, Soominen_US
dc.date.accessioned2009-06-03T21:10:48Zen_US
dc.date.available2009-06-03T21:10:48Zen_US
dc.date.issued2007en_US
dc.description.abstractMinimal 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.en_US
dc.format.extent97 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS MATH. 2007 KIMen_US
dc.identifier.citationKim, Soomin. "Limits of minimal surfaces with increasing genus." (2007) Diss., Rice University. <a href="https://hdl.handle.net/1911/20692">https://hdl.handle.net/1911/20692</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/20692en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectMathematicsen_US
dc.titleLimits of minimal surfaces with increasing genusen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
3272423.PDF
Size:
3.26 MB
Format:
Adobe Portable Document Format
Download
Collections
Rice University Theses and Dissertations