A note on closed convex hypersurfaces with singularities

Fang, Hao; Lai, Mijia; Wo, Weifeng

doi:10.1090/proc/13886

A note on closed convex hypersurfaces with singularities
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by Hao Fang, Mijia Lai and Weifeng Wo PDF

Proc. Amer. Math. Soc. 147 (2019), 2661-2671 Request permission

Abstract:

We study closed hypersurfaces in an Euclidean space with point singularities. When certain curvature conditions are prescribed on the smooth part of the hypersurface, we study the geometry of image of the normal map.

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