141 citations
- Centre National d'Études SpatialesFR2 papers
- Chinese Academy of SciencesCN2 papers
- Dalian University of TechnologyCN2 papers
- European Space Research and Technology CentreNL2 papers
- Imperial College LondonGB2 papers
- Institute of Plasma PhysicsIT2 papers
- National Astronomical ObservatoriesCN2 papers
- Peking UniversityCN2 papers
- Planetary Science InstituteUS2 papers
- Technische Universität BraunschweigDE2 papers
- University of California, Los AngelesUS2 papers
- University of Maryland, College ParkUS2 papers
5 papers · 1 filter
A countable set of directions is sufficient for Steiner symmetrization
Gabriele Bianchi, Daniel A. Klain, Erwin Lutwak +2
A countable dense set of directions is sufficient for Steiner symmetrization, but the order of directions matters.
If you can hide behind it, can you hide inside it?
Daniel A. Klain
Let L be a compact convex set in R^n, and let 1 <= d <= n-1. The set L is defined to be d-decomposable if L is a direct Minkowski sum (affine Cartesian product) of two or more conv…
Covering shadows with a smaller volume
Daniel A. Klain
For each i = 1, ..., n constructions are given for convex bodies K and L in n-dimensional Euclidean space such that each rank i orthogonal projection of K can be translated inside…
Bonnesen-type inequalities for surfaces of constant curvature
Daniel A. Klain
A Bonnesen-type inequality is a sharp isoperimetric inequality that includes an error estimate in terms of inscribed and circumscribed regions. A kinematic technique is used to pro…
Perfect Delaunay Polytopes in Low Dimensions
Mathieu Dutour, Robert Erdahl, Konstantin Rybnikov
A lattice Delaunay polytope is known as perfect if the only ellipsoid, that can be circumscribed about it, is its Delaunay sphere. Perfect Delaunay polytopes are in one-to-one corr…