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Stability in the Aleksandrov‐Fenchel‐Jessen Theorem

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Publication:3824968
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DOI10.1112/S0025579300013565zbMath0671.52008MaRDI QIDQ3824968

Rolf Schneider

Publication date: 1989

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

convex bodytheorem ofp-th order area measureAleksandrov-Fenchel- Jenssen


Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)


Related Items

A class of bounds for convex bodies in Hilbert space, Stability of the quermassintegral inequalities in hyperbolic space, Stability properties of Cauchy's surface area formula, A stability estimate for the Aleksandrov-Fenchel inequality under regularity assumptions, On the Sobolev distance of convex bodies, Stability Results for First Order Projection Bodies, On the Aleksandrov--Fenchel inequality and the stability of the sphere, A stability estimate for the Aleksandrov-Fenchel inequality, with an application to mean curvature, Stability of inequalities in the dual Brunn-Minkowski theory



Cites Work

  • Unnamed Item
  • Extensions of an inequality of Bonnesen to d-dimensional space and curvature conditions for convex bodies
  • \(L_p\) metrics for compact convex sets
  • Spherical harmonics
  • Almost Spherical Convex Hypersurfaces
  • Stability in the Isoperimetric Problem
  • Nearly spherical surfaces
  • Nearly spherical surfaces
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