3 papers
math.DG2026
Illumination bodies on Riemannian manifolds
Rotem Assouline, Carsten Schütt, Elisabeth M. Werner
We prove a generalization of Werner's asymptotic formula for the volume of the illumination body of a convex body, which holds on Riemannian manifolds with Ricci curvature bounded…
math.MG2024
Weighted floating functions and weighted functional affine surface areas
Carsten Schütt, Christoph Thaele, Nicola Turchi +1
The purpose of this paper is to introduce the new concept of weighted floating functions associated with log concave or -concave functions. This leads to new notions of weighted…
math.MG2018
Flag numbers and floating bodies
Florian Besau, Carsten Schütt, Elisabeth M. Werner
We investigate weighted floating bodies of polytopes. We show that the weighted volume depends on the complete flags of the polytope. This connection is obtained by introducing fla…