https://neckpinch.com/authors/kuicheng-ma/New arXiv papers by Kuicheng Ma, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2512.19285/arxiv:2512.19285Mon, 22 Dec 2025 00:00:00 GMTKuicheng 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 k-convex hypersurface satisfying some pinching condition. Assume further the Heintze-Karcher inequality for any closed spacelike mean convex hypersurface in de Sitter space, we derive a class of Alexandrov-Fenchel inequalities.Other curvature flowsInverse mean curvature flowVolume-preserving & constrained flowsCurvature pinchingGeometric inequalitiesPhysics https://neckpinch.com/papers/2507.11149/arxiv:2507.11149Tue, 15 Jul 2025 00:00:00 GMTKuicheng Ma — In this paper, an Alexandrov-Fenchel inequality is established for closed 2-convex spacelike hypersurface in de Sitter space by investigating the behavior of the locally constrained inverse curvature flow \beginalign \frac{\partial }{\partial t}x=\bigg(u-\fracλ'E_1E_2\bigg)ν,\nonumber \endalign which provides a partial answer to the conjecture raised by Hu and Li in.Other curvature flowsInverse mean curvature flowVolume-preserving & constrained flowsGeometric inequalitiesPhysics