https://neckpinch.com/authors/qing-chen/New arXiv papers by Qing Chen, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1702.03428/arxiv:1702.03428Sat, 11 Feb 2017 00:00:00 GMTYecheng Zhu, Yi Fang, Qing Chen — In this paper, we study the complete bounded λ-hypersurfaces in weighted volume-preserving mean curvature flow. Firstly, we investigate the volume comparison theorem of complete bounded λ-hypersurfaces with |A|≤α and get some applications of the volume comparison theorem. Secondly, we consider the relation among λ, extrinsic radius k, intrinsic diameter d, and dimension n of the complete λ-hypersurface, and we obtain some estimates for the intrinsic diameter and the extrinsic radius. At last, we get some topological properties of the bounded λ-hypersurface with some natural and general restrictions.Mean curvature flowVolume-preserving & constrained flows