Closed Convex Hypersurfaces with Curvature Restrictions

DOI10.2307/2047112zbMath0659.53003OpenAlexW4245720608MaRDI QIDQ3808788

Rolf Schneider

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047112

zbMATH Keywords

second fundamental formconvex bodyvector sumcurvature centroidpositive curvatures

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (1)

Prescribed \(L_p\) curvature problem

Cites Work

• Unnamed Item
• Convex curves of bounded type
• Über die Schwerpunkte von Eibereichen
• An inclusion theorem for ovaloids with comparable second fundamental forms
• Krümmungsschwerpunkte konvexer Körper. I. (Barycenters of curvature of convex bodies. I.)
• Inner contact probabilities for convex bodies
• Inner contact measures

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