2 papers
math.MG2023
Floating bodies and duality in spaces of constant curvature
Florian Besau, Elisabeth M. Werner
We investigate a natural analog to Lutwak's -affine surface area in -dimensional spherical, hyperbolic and de Sitter space. In particular, we show that these curvature measur…
math.MG2014
Binary Operations in Spherical Convex Geometry
Florian Besau, Franz E. Schuster
Characterizations of binary operations between convex bodies on the Euclidean unit sphere are established. The main result shows that the convex hull is essentially the only non-tr…