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math.DG2022
Brunn-Minkowski inequalities for sprays on surfaces
Rotem Assouline
We propose a generalization of the Minkowski average of two subsets of a Riemannian manifold, in which geodesics are replaced by an arbitrary family of parametrized curves. Under c…
math.MG2022★ 2 cited
Horocyclic Brunn-Minkowski inequality
Rotem Assouline, Bo'az Klartag
Given two non-empty subsets and of the hyperbolic plane , we define their horocyclic Minkowski sum with parameter as the set $[A:B]_{1/2} \subseteq \m…