A note on closed convex hypersurfaces with singularities

A note on closed convex hypersurfaces with singularities

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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Veröffentlicht in:Proceedings of the American Mathematical Society 2019-06, Vol.147 (6), p.2661-2671
Hauptverfasser: Fang, Hao, Lai, Mijia, Wo, Weifeng
Format: Artikel
Sprache:eng
Schlagworte:
D. GEOMETRY
Research article
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Zusammenfassung: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/13886