17 citations · 19 across the 3 of their papers we have counts for
4 papers · 1 filter
Complex and Quaternionic Analogues of Busemann's Random Simplex and Intersection Inequalities
Christos Saroglou, Thomas Wannerer
In this paper, we extend two celebrated inequalities by Busemann -- the random simplex inequality and the intersection inequality -- to both complex and quaternionic vector spaces.…
On mixed Hodge-Riemann relations for translation-invariant valuations and Aleksandrov-Fenchel inequalities
Jan Kotrbatý, Thomas Wannerer
A version of the Hodge-Riemann relations for valuations was recently conjectured and proved in several special cases by the first-named author. The Lefschetz operator considered th…
On the extendability by continuity of angular valuations on polytopes
Thomas Wannerer
A classical theorem of P. McMullen describes all valuations on polytopes that are invariant under translations and weakly continuous, i.e., continuous with respect to parallel disp…
GL(n) contravariant Minkowski valuations
Franz E. Schuster, Thomas Wannerer
A complete classification of all continuous GL(n) contravariant Minkowski valuations is established. As an application we present a family of sharp isoperimetric inequalities for s…