3 papers
math.DG2025
Noncollapsing for Curvature Flows with Inhomogeneous Speeds
Weimin Sheng, Ye Zhu
We study closed, embedded hypersurfaces in Euclidean space evolving by fully nonlinear curvature flows, whose speed is given by a symmetric, monotone increasing, -homogeneous, p…
math.DG2025
Long time behavior of a class of non-homogeneous anisotropic fully nonlinear curvature flows
Weimin Sheng, Jiazhuo Yang
In this paper, we study a class of non-homogeneous anisotropic fully nonlinear curvature flows in . More precisely, we consider a hypersurface in $\mathbb{R}^…
math.DG2025
On the new weighted geometric inequalities near the sphere in space forms
Weimin Sheng, Yinhang Wang
In this paper, we first investigate weighted Minkowski type inequalities for nearly spherical sets in space forms, focusing on the sets that are -close to geodesic spheres. Ou…