Applications of Almgren-Pitts min-max theory

Applications of Almgren-Pitts min-max theory

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 curvatu...

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Main Author: Sarquis Aiex Marini Ferreira, Nicolau
Other Authors: Neves, André
Published: Imperial College London 2016
Subjects:
516.3
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.689150
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spelling ndltd-bl.uk-oai-ethos.bl.uk-6891502017-11-03T03:15:37ZApplications of Almgren-Pitts min-max theorySarquis Aiex Marini Ferreira, NicolauNeves, André2016We 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 2.516.3Imperial College Londonhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.689150http://hdl.handle.net/10044/1/34947Electronic Thesis or Dissertation
collection NDLTD
sources NDLTD
topic 516.3
spellingShingle 516.3
Sarquis Aiex Marini Ferreira, Nicolau
Applications of Almgren-Pitts min-max theory
description 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.
author2 Neves, André
author_facet Neves, André
Sarquis Aiex Marini Ferreira, Nicolau
author Sarquis Aiex Marini Ferreira, Nicolau
author_sort Sarquis Aiex Marini Ferreira, Nicolau
title Applications of Almgren-Pitts min-max theory
title_short Applications of Almgren-Pitts min-max theory
title_full Applications of Almgren-Pitts min-max theory
title_fullStr Applications of Almgren-Pitts min-max theory
title_full_unstemmed Applications of Almgren-Pitts min-max theory
title_sort applications of almgren-pitts min-max theory
publisher Imperial College London
publishDate 2016
url http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.689150
work_keys_str_mv AT sarquisaiexmariniferreiranicolau applicationsofalmgrenpittsminmaxtheory
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