Hedgehogs and zonoids
From MaRDI portal
Publication:5937629
DOI10.1006/aima.2000.1943zbMath0977.52010OpenAlexW2064099393MaRDI QIDQ5937629
Publication date: 21 January 2002
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/9dd365cb5b7d480dae61f75699acaf31f2b93745
Surfaces in Euclidean and related spaces (53A05) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)
Related Items (16)
The zonoid algebra, generalized mixed volumes, and random determinants ⋮ On a functional equation related to a pair of hedgehogs with congruent projections ⋮ Gauss rigidity and volume preservation under preserving curvature deformations for hedgehogs ⋮ The Gauss-Bonnet theorem for coherent tangent bundles over surfaces with boundary and its applications ⋮ Derivatives of the \(L^p\)-cosine transform. ⋮ Isoperimetric equalities for rosettes ⋮ Uniqueness results for the Minkowski problem extended to hedgehogs ⋮ A LOCAL UNIQUENESS THEOREM FOR MINIMIZERS OF PETTY's CONJECTURED PROJECTION INEQUALITY ⋮ Fixed points of Minkowski valuations ⋮ A stability estimate for the Aleksandrov-Fenchel inequality under regularity assumptions ⋮ The second mixed projection problem and the projection centroid conjectures ⋮ New notion of index for hedgehogs of \(\mathbb R^3\) and applications ⋮ Minkowski-type and Alexandrov-type theorems for polyhedral herissons ⋮ The even Orlicz Minkowski problem ⋮ Hedgehog theory via Euler calculus ⋮ Hedgehog theory and polytopes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Blaschkes Problem der lokalen Charakterisierung von Zonoiden
- New geometric inequalities for hedgehogs
- Hedgehog index: Study and applications
- Mixed Projection Inequalities
- Manifolds with preassigned curvature—a survey
- Über eine Integralgleichung in der Theorie der konvexen Körper
- Christoffel's problem for general convex bodies
This page was built for publication: Hedgehogs and zonoids
