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math.MG2022★ 4 cited
Hyperbolic -sum and Horospherical -Brunn-Minkowski theory in hyperbolic space
Haizhong Li, Botong Xu
The classical Brunn-Minkowski theory studies the geometry of convex bodies in Euclidean space by use of the Minkowski sum. It originated from H. Brunn's thesis in 1887 and H. Minko…
math.DG2022
A class of weighted isoperimetric inequalities in hyperbolic space
Haizhong Li, Botong Xu
In this paper, we prove a class of weighted isoperimetric inequalities for bounded domains in hyperbolic space by using the isoperimetric inequality with log-convex density in Eucl…