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arXiv · 1011.1544

A_2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space

Kentaro Saji·Masaaki Umehara·Kotaro Yamada
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Abstract

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.

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Kentaro Saji, Masaaki Umehara, Kotaro Yamada. 2010-11-06. A_2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space. https://arxiv.org/abs/1011.1544

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