Minkowski type theorems for convex sets in cones

DOI10.1007/s10474-020-01119-1zbMath1488.52007arXiv2008.07248OpenAlexW3126643489MaRDI QIDQ2043690

Yanyan Li

Publication date: 3 August 2021

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.07248

zbMATH Keywords

stabilityconvex conesurface area measurecoconvex setMinkowski's existence theorem

Mathematics Subject Classification ID

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

Related Items (2)

Pseudo-cones ⋮ The dual Minkowski problem for unbounded closed convex sets

Cites Work

• Minkowski's and related problems for convex surfaces with boundaries
• Integral invariants of convex cones
• On a conjecture by E. Calabi
• A Brunn-Minkowski theory for coconvex sets of finite volume
• A characterization of Blaschke addition
• On the theory of coconvex bodies
• Convex Polyhedra
• Convex Bodies The Brunn-MinkowskiTheory
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