Nearly umbilical ovaloids in the \(n\)-space are close to spheres

DOI10.1007/BF03322105zbMath0938.52005MaRDI QIDQ1306282

Kurt Leichtweiß\

Publication date: 18 June 2000

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(\delta\)-umbilical ovaloids\(\varepsilon\)-closeness to a spheredual Euler theorem

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Approximation by convex sets (52A27) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (2)

Pinching and asymptotical roundness for inverse curvature flows in Euclidean space ⋮ Shifted inverse curvature flows in hyperbolic space

Cites Work

• Stability theorems for projections of convex sets
• Gauss curvature flow: The fate of the rolling stones
• Some estimates for almost umbilical surfaces
• Estimates of the deviation from a sphere of quasiumbilical surfaces
• Nearly spherical surfaces
• Nearly spherical surfaces
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