论文标题
在Moebius可变形的超曲面上
On the Moebius deformable hypersurfaces
论文作者
论文摘要
在文章[\ emph {保存möbius公制和还原定理的超曲面的变形}中，adv。数学。 256 (2014), 156--205], Li, Ma and Wang investigated the interesting class of Moebius deformable hypersurfaces, that is, the umbilic-free Euclidean hypersurfaces $f\colon M^n\to \mathbb{R}^{n+1}$ that admit non-trivial deformations preserving the Moebius metric.然而，在上述文章中指出的Moebius变形的高度曲面$ n \ geq 4 $的分类错过了大量示例。在本文中，我们完成了$ n \ geq 5 $的分类。
In the article [\emph{Deformations of hypersurfaces preserving the Möbius metric and a reduction theorem}, Adv. Math. 256 (2014), 156--205], Li, Ma and Wang investigated the interesting class of Moebius deformable hypersurfaces, that is, the umbilic-free Euclidean hypersurfaces $f\colon M^n\to \mathbb{R}^{n+1}$ that admit non-trivial deformations preserving the Moebius metric. The classification of Moebius deformable hypersurfaces of dimension $n\geq 4$ stated in the aforementioned article, however, misses a large class of examples. In this article we complete that classification for $n\geq 5$.
