A New Conformal Invariant for four-Dimensional Hypersurfaces

Autor:	Bernard, Yann
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	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 $Q$-curvature energy, but also that Bach-flat hypersurfaces are smooth, along with relevant estimates. Comment: Too many errors. To be redone elsewhere
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2209.12469 Zobrazit plný text záznamu View this record from Arxiv