A2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space
2011 年 34 巻 3 号 p. 390-409
詳細
2011 年 34 巻 3 号 p. 390-409
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 A2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space.
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