Convex half-spaces
Convex hulls of integral points.
Convex hulls of polyominoes.
Convex Polytopes Whose Projection Bodies and Difference Sets Are Polars.
Convex sets with homothetic projections.
Convex Surfaces Whose Geodesics Are Planar.
Convexes hyperboliques et fonctions quasisymétriques
Every bounded convex open set Ω of Rm is endowed with its Hilbert metric dΩ. We give a necessary and sufficient condition, called quasisymmetric convexity, for this metric space to be hyperbolic. As a corollary, when the boundary is real analytic, Ω is always hyperbolic. In dimension 2, this condition is: in affine coordinates, the boundary ∂Ω is locally the graph of a C1 strictly convex function whose derivative is quasisymmetric.
Corrections to my paper "On the geometry of convex reflectors" (Banach Center Publ. 57 (2002), 155-169)
Corrigendum to "Preassigning the Shape for Bodies of Constant Width".
Covering a disk by disks.
Curvature and -strict convexity.