A_2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space
A_2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space
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DOI：
10.2996/kmj/1320935549
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发表时间：
2010-11
期刊：
影响因子：
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通讯作者：
K. Saji;M. Umehara;Kotaro Yamada
中科院分区：
文献类型：
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作者：
K. Saji;M. Umehara;Kotaro Yamada
在之前的工作中，作者给出了“前束”的定义。在此基础上，我们给出了空间形式波前的实现定理，类似于曲面理论的基本定理。作为一个应用，我们研究了欧几里德空间中非负截面曲率超曲面的主奇异曲率沿a2 -奇点的性质。
In a previous work, the authors gave a definition of `front bundles'. Using this, we give a realization theorem for wave fronts in space forms, like as in the fundamental theorem of surface theory. As an application, we investigate the behavior of principal singular curvatures along A_2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space.