Applications of almgren-pitts min-max theory

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Title: Applications of almgren-pitts min-max theory
Author(s): Sarquis Aiex Marini Ferreira, Nicolau
Item Type: Thesis or dissertation
Abstract: We develop an application of Almgren-Pitts min-max theory to the study of minimal hypersurfaces in dimension 3 ≤ m + 1 ≤ 7 as well as computing the k-width of the round 2-sphere for k = 1,...,8. We show that the space of minimal hypersurfaces is non-compact for an analytic metric of positive curvature and construct a min-max unstable closed geodesic in S^2 with multiplicity 2.
Content Version: Open Access
Publication Date: May-2016
Date Awarded: Jul-2016
URI: http://hdl.handle.net/10044/1/34947
Advisor: Neves, André
Sponsor/Funder: Conselho Nacional de Desenvolvimento Científico e Tecnológico
Department: Mathematics
Publisher: Imperial College London
Qualification Level: Doctoral
Qualification Name: Doctor of Philosophy (PhD)
Appears in Collections:Mathematics PhD theses



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