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math.MG2023★ 1 cited
The discrete horospherical -Minkowski problem in hyperbolic space
Haizhong Li, Yao Wan, Botong Xu
In \cite{LX}, the first author and the third author introduced and studied the horospherical -Minkowski problem for smooth horospherically convex domains in hyperbolic space. In…
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…