2 papers
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…
math.DG2024
On rigidity of hypersurfaces with constant shifted curvature functions in hyperbolic space
Weimin Sheng, Yinhang Wang, Jie Wu
In this paper, we first give some new characterizations of geodesic spheres in the hyperbolic space by the condition that hypersurface has constant weighted shifted mean curvatures…