Double normals of most convex bodies
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Publication:1711913
DOI10.1016/j.aim.2018.11.014zbMath1421.52005arXiv1804.07015OpenAlexW2964052751WikidataQ128852946 ScholiaQ128852946MaRDI QIDQ1711913
Alain Rivière, Costin Vîlcu, Joël Rouyer, Tudor I. Zamfirescu
Publication date: 18 January 2019
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.07015
box dimensionpacking dimensionBaire categoriesdouble normal of a cone bodyupper and lower curvatures
Baire category, Baire spaces (54E52) Fractals (28A80) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Hausdorff and packing measures (28A78)
Cites Work
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- Typical curvature behaviour of bodies of constant width
- Problem of stability of two-link trajectories in a multidimensional Birkhoff billiard
- Some new results on smoothness and rotundity in normed linear spaces
- Curvature properties of typical convex surfaces
- The curvature of most convex surfaces vanishes almost everywhere
- Nonexistence of curvature in most points of most convex surfaces
- Most convex mirrors are magic
- Die meisten konvexen Körper sind glatt, aber nicht zu glatt
- The stability of periodic trajectories of a billiard ball in three dimensions
- Double normals of a compact submanifold
- Double normals of convex bodies
- Lotgeodätische. Morse-Theorie für Probleme mit kompakten Randbedingungen
- Visibility and diameter maximization of convex bodies
- Diameters in Typical Convex Bodies
- Points of infinitely many normals to convex surfaces.
- On the number of periodic reflecting rays in generic domains
- Elliptic islands in strictly convex billiards
- Persistence of homoclinic orbits for billiards and twist maps
- Homoclinic points for convex billiards
- Periodic orbits of generic oval billiards
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