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math.DG2024
Anisotropic Gauss curvature flow of complete non-compact graphs
Shujing Pan, Yong Wei
In this paper, we consider the anisotropic -Gauss curvature flow for complete noncompact convex hypersurfaces in the Euclidean space with the anisotropy determined by a smooth c…
math.DG2024
A Minkowski type inequality in warped cylinders
Shujing Pan, Bo Yang
We prove a Minkowski type inequality for weakly mean convex and star-shaped hypersurfaces in warped cylinders which are asymptotically flat or hyperbolic. In particular, we show th…