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math.DG2023
Rigidity Result for Four Dimensional Willmore Submanifolds with Boundary
Peter Olamide Olanipekun
We establish a rigidity result for the critical points, with boundary, of a four dimensional Willmore energy. These critical points satisfy a 4-Willmore equation which is a sixth o…
math.DG2022
Regularity of four dimensional Willmore-type hypersurfaces
Peter Olamide Olanipekun, Yann Bernard
A four dimensional conformally invariant energy is studied. This energy generalises the well known two-dimensional Willmore energy. Although not positive definite, it includes mini…
math.DG2022★ 1 cited
Study of a Four Dimensional Willmore Energy
Peter Olamide Olanipekun
In this thesis, a four dimensional conformally invariant energy is studied. This energy generalises the well known two-dimensional Willmore energy. Although not positive definite,…