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math.DG2021
Anisotropic curvature measures and volume preserving flows
Ben Andrews, Yitao Lei, Yong Wei +1
In the first part of this paper, we develop the theory of anisotropic curvature measures for convex bodies in the Euclidean space. It is proved that any convex body whose boundary…
math.DG2021
Sharp bounds for the anisotropic -capacity of Euclidean compact sets
Ruixuan Li, Changwei Xiong
We prove various sharp bounds for the anisotropic -capacity () of compact sets in the Euclidean space (). For example,…
math.DG2021★ 10 cited
A fully nonlinear locally constrained anisotropic curvature flow
Yong Wei, Changwei Xiong
Given a smooth positive function such that the square of its positive -homogeneous extension on is uniformly co…