most citedChord Measures in Integral Geometry and Their Minkowski Problems

31 citations · 31 across the 4 of their papers we have counts for

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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★ 31 cited

Chord Measures in Integral Geometry and Their Minkowski Problems

Erwin Lutwak, Dongmeng Xi, Deane Yang +1

To the families of geometric measures of convex bodies (the area measures of Aleksandrov-Fenchel-Jessen, the curvature measures of Federer, and the recently discovered dual curvatu…

math.MG2025

Minkowski Problems for Geometric Measures

Yong Huang, Deane Yang, Gaoyang Zhzng

This paper describes the theory of Minkowski problems for geometric measures in convex geometric analysis. The theory goes back to Minkowski and Aleksandrov and has been developed…