Dupin Hypersurfaces in $mathbb R^5$

Carlos M. C. Riveros; Keti Tenenblat

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Dupin Hypersurfaces in $mathbb R^5$

机译：在$ mathbb R ^ 5 $中的Dupin Hypersurfaces

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We study Dupinhypersurfaces in $mathbb R^5$ parametrized by lines of curvature, withfour distinct principal curvatures. We characterize locally a genericfamily of such hypersurfaces in terms of the principal curvatures andfour vector valued functions of one variable. We show that these vectorvalued functions are invariant by inversions and homotheties.

机译：我们研究由曲率线参数化的$ mathbb R ^ 5 $中的Dupinhypersurfaces，具有四个不同的主曲率。我们根据一个变量的主曲率和四个矢量值函数来局部刻画此类超曲面的泛型族。我们证明了这些向量值函数通过求逆和同构性是不变的。

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《Canadian Journal of Mathematics》 |2005年第2005期|共页
作者
Carlos M. C. Riveros; Keti Tenenblat;
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中图分类数学;
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Dupin Hypersurfaces in $mathbb R^5$

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