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dc.contributor.advisorYau, Shing-Tung
dc.contributor.authorSmillie, Peter
dc.date.accessioned2019-05-20T12:23:28Z
dc.date.created2018-05
dc.date.issued2018-05-16
dc.date.submitted2018
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:40050112*
dc.description.abstractThis thesis concerns the global theory of properly embedded spacelike surfaces in 3 dimensional Minkowski space with prescribed Gaussian curvature. We prove that every regular domain which is not a wedge contains a unique properly embedded spacelike surface with Gaussian curvature equal to one everywhere. This completes the classification of such surfaces in terms of their domains of dependence, for which partial results were obtained by Li, Guan-Jian-Schoen, and Bonsante-Seppi. As a consequence, we prove the existence and uniqueness of foliations of regular domains by surfaces of leafwise constant Gaussian curvature. We also show that our classification extends to surfaces with bounded prescribed Gaussian curvature.
dc.description.sponsorshipMathematics
dc.format.mimetypeapplication/pdf
dc.language.isoen
dash.licenseLAA
dc.subjectMathematics
dc.titleEntire Surfaces of Prescribed Curvature in Minkowski 3-Space
dc.typeThesis or Dissertation
dash.depositing.authorSmillie, Peter
dc.date.available2019-05-20T12:23:28Z
thesis.degree.date2018
thesis.degree.grantorGraduate School of Arts & Sciences
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
dc.contributor.committeeMemberMcMullen, Curtis T.
dc.contributor.committeeMemberTaubes, Clifford
dc.type.materialtext
thesis.degree.departmentMathematics
dash.identifier.vireohttp://etds.lib.harvard.edu/gsas/admin/view/2272
dc.description.keywordsMinkowski problem; Gaussian curvature; Spacelike surfaces
dc.identifier.orcid0000-0001-7316-897X
dash.author.emailpsmilli1@gmail.com


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