https://neckpinch.com/authors/jerome-vetois/New arXiv papers by Jérôme Vétois, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1705.10839/arxiv:1705.10839Tue, 30 May 2017 00:00:00 GMTJérôme Vétois — We examine the question of convergence of solutions to a geometric flow which was introduced by Guan and Li for starshaped hypersurfaces in space forms and generalized by Guan, Li, and Wang to the case of warped product spaces. We obtain a convergence result under a condition on the optimal modulus of continuity of the initial data. Moreover we show by examples that this condition is optimal at least in the one-dimensional case.Mean curvature flowVolume-preserving & constrained flowsSingularitiesSphere theoremsRotational symmetry & warped products