4 citations · 12 across the 8 of their papers we have counts for
6 papers · 1 filter
Uniqueness of Flotation and Buoyancy Surfaces for Convex Polytopes
Susanna Dann, Orli Herscovici, Sergii Myroshnychenko
We prove that a convex polytope , , of uniform density floating in a liquid of density , is uniquely determined by its surface of f…
Affine isoperimetric inequalities on flag manifolds
Susanna Dann, Grigoris Paouris, Peter Pivovarov
Building on work of Furstenberg and Tzkoni, we introduce -flag affine quermassintegrals and their dual versions. These quantities generalize affine and dual affine quermas…
Busemann's intersection inequality in hyperbolic and spherical spaces
Susanna Dann, Jaegil Kim, Vladyslav Yaskin
Busemann's intersection inequality asserts that the only maximizers of the integral among all convex bodies of a fixed volume in …
An algorithm to find maximum area polygons circumscribed about a convex polygon
Markus Ausserhofer, Susanna Dann, Zsolt Lángi +1
A convex polygon Q is circumscribed about a convex polygon P if every vertex of P lies on at least one side of Q. We present an algorithm for finding a maximum area convex polygon…
On the average volume of sections of convex bodies
Silouanos Brazitikos, Susanna Dann, Apostolos Giannopoulos +1
The average section functional of a centered convex body in is the average volume of central hyperplane sections of : \begin{equation*}{\rm as}(K)=…
On the Minkowski-Funk Transform
Susanna Dann
The subject of this paper is the history of the Minkowski-Funk Transform. After introducing the Minkowski-Funk Transform as well as its dual transform and a generalization of both,…