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Study of a four dimensional Willmore-type energy

thesis
posted on 2021-12-08, 19:54 authored by PETER OLAMIDE OLANIPEKUN
The Willmore energy is a well known geometric quantity which measures the sphericity of a surface. In this thesis, we study a four dimensional generalisation of the Willmore energy. We show that critical hypersurfaces of this four dimensional energy are smooth (no spikes).

History

Campus location

Australia

Principal supervisor

Yann Bernard

Additional supervisor 1

Zihua Guo

Additional supervisor 2

Julie Clutterbuck

Year of Award

2021

Department, School or Centre

Mathematics

Course

Doctor of Philosophy

Degree Type

DOCTORATE

Faculty

Faculty of Science

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    Categories

    Keywords

    Willmore energyWillmore functionalHigher dimensional Willmore energyWillmore submanifoldWillmore hypersurfacesPure Mathematics not elsewhere classifiedCalculus of Variations, Systems Theory and Control TheoryPartial Differential EquationsGeometry

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    In Copyright

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