New geometric inequalities for hedgehogs
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Publication:1300325
DOI10.1007/s000130050354zbMath0955.52003OpenAlexW2024380224MaRDI QIDQ1300325
Publication date: 4 March 2001
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s000130050354
Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39)
Related Items (14)
Hyperbolic geometry of shapes of convex bodies ⋮ Gauss rigidity and volume preservation under preserving curvature deformations for hedgehogs ⋮ Fuchsian convex bodies: basics of Brunn-Minkowski theory ⋮ Iterating evolutes and involutes ⋮ Derivation of convex surfaces of \(\mathbb R^3\) in Lorentz space and study of their focals ⋮ Rigidity and flexibility of virtual polytopes ⋮ Cyclopermutohedron: geometry and topology ⋮ A stability estimate for the Aleksandrov-Fenchel inequality under regularity assumptions ⋮ Hedgehogs and zonoids ⋮ New notion of index for hedgehogs of \(\mathbb R^3\) and applications ⋮ Minkowski-type and Alexandrov-type theorems for polyhedral herissons ⋮ New insights on marginally trapped surfaces: the hedgehog theory point of view ⋮ Hedgehog theory via Euler calculus ⋮ Zindler-type hypersurfaces in \(\mathbb{R}^4\)
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