论文标题
四维超曲面的新形式不变
A New Conformal Invariant for four-Dimensional Hypersurfaces
论文作者
论文摘要
设计了一种新的用于四维超曲面的新型不变能量。它可能会研究大量的曲率能量，我们表明它们的临界点是光滑的。作为推论，我们获得了Willmore Energy（$ Q $ curvature Energy）的四维类似物的临界点的规律性，但也认为Bach-Flat Hypersurfaces是平稳的，以及相关的估计值。
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.
