Stability properties of Cauchy's surface area formula

DOI10.1007/BF01321716zbMath0739.52007MaRDI QIDQ1181772

Helmut Groemer

Publication date: 27 June 1992

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178529

zbMATH Keywords

stabilitydensitysurface areaCauchy's formula\(d\)-dimensional convex body

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Cites Work

• Centroid surfaces
• Stability theorems for projections and central symmetrization
• Recovering a centred convex body from the areas of its shadows: A stability estimate
• Spherical harmonics
• Zu einem Problem von Shephard über die Projektionen konvexer Körper
• Stability Results for First Order Projection Bodies
• Stability in the Aleksandrov‐Fenchel‐Jessen Theorem
• Spherical Harmonics
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