3 papers
math.MG2025
Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals
Shay Sadovsky, Gaoyong Zhang
This paper establishes two new geometric inequalities in the dual Brunn-Minkowski theory. The first, originally conjectured by Lutwak, is the Brunn-Minkowski inequality for dual qu…
math.MG2025
A Rockafellar-type theorem for non-traditional costs
Shiri Artstein-Avidan, Shay Sadovsky, Katarzyna Wyczesany
In this note, we present a unified approach to the problem of existence of a potential for the optimal transport problem with respect to non-traditional cost functions, that is, co…
math.MG2025
Godbersen's conjecture for locally anti-blocking bodies
Shay Sadovsky
In this note we give a short proof of Godbersen's conjecture for the class of locally anti-blocking bodies. We show that all equality cases amongst locally anti-blocking bodies are…