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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
A New Conformal Invariant for four-Dimensional Hypersurfaces
Yann Bernard
A new conformally invariant energy for four-dimensional hypersurfaces is devised. It renders possible the study of a large class of curvature energies, and we show that their criti…