On quasi-umbilical locally strongly convex homogeneous affine hypersurfaces☆
On quasi-umbilical locally strongly convex homogeneous affine hypersurfaces☆
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DOI：
10.1016/j.difgeo.2014.01.005
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发表时间：
2014-04
影响因子：
0.5
通讯作者：
Zejun Hu;Cece Li;Chuanjing Zhang
中科院分区：
文献类型：
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作者：
Zejun Hu;Cece Li;Chuanjing Zhang
本文通过对F. Dillen和L. Vrancken在[6]中研究了拟脐局部强凸齐次单模仿射超曲面。我们将在所有维度上给出某个子类的特征;最后，在5维上，我们将给出所有拟脐齐次单模仿射超曲面的完全分类。
In this paper, by developing the techniques of F. Dillen and L. Vrancken in [6], we study quasi-umbilical locally strongly convex homogeneous unimodular-affine hypersurfaces. We will present a characterization of a certain subclass in all dimensions; finally, in dimension five, we will give a complete classification of all quasi-umbilical homogeneous unimodular-affine hypersurfaces.