3 papers
math.DG2025
Geometric inequalities for convex spacelike hypersurface in de Sitter space
Yandi Dong, Kuicheng Ma
In this paper, the long-time existence and convergence results are derived for locally constrained flows with initial value some compact spacelike hypersurface that is suitably pin…
math.DG2025
Locally constrained inverse curvature flow and Alexandrov-Fenchel type inequalities in de Sitter space
Kuicheng Ma
In this paper, we study the behavior of some locally constrained inverse curvature flow in de Sitter space, with initial value any closed spacelike -convex hypersurface satisfyi…
math.DG2025
A locally constrained inverse Hessian quotient flow in de Sitter space
Kuicheng Ma
In this paper, an Alexandrov-Fenchel inequality is established for closed -convex spacelike hypersurface in de Sitter space by investigating the behavior of the locally constrai…