On the Aleksandrov--Fenchel inequality and the stability of the sphere
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Publication:1261138
DOI10.1007/BF01311206zbMath0784.52008MaRDI QIDQ1261138
Publication date: 27 March 1994
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/178594
Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39)
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On the Shape of Compact Hypersurfaces with Almost-Constant Mean Curvature ⋮ Quantitative estimates for almost constant mean curvature hypersurfaces ⋮ Curvature measures and stability
Cites Work
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- A stability estimate for the Aleksandrov-Fenchel inequality, with an application to mean curvature
- On the Aleksandrov-Fenchel inequality for convex bodies. I
- \(L_p\) metrics for compact convex sets
- Almost Spherical Convex Hypersurfaces
- Stability Results for First Order Projection Bodies
- Stability Estimates for some Geometric Inequalities
- Stability in the Aleksandrov‐Fenchel‐Jessen Theorem
- Ovaloids which are almost spheres
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