A New Conformal Invariant for four-Dimensional Hypersurfaces
Differential Geometry
2023-11-20 v3
Abstract
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 critical points are smooth. As corollaries, we obtain the regularity of the critical points of the four-dimensional analogues of the Willmore energy, of the -curvature energy, but also that Bach-flat hypersurfaces are smooth, along with relevant estimates.
Cite
@article{arxiv.2209.12469,
title = {A New Conformal Invariant for four-Dimensional Hypersurfaces},
author = {Yann Bernard},
journal= {arXiv preprint arXiv:2209.12469},
year = {2023}
}
Comments
Too many errors. To be redone elsewhere