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Study of a four dimensional Willmore-type energy
thesisposted on 08.12.2021, 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).