Mean curvature flow with multiplicity 2 convergence in closed manifolds

2024/02/07 by Chen, Jingwen, Sun, Ao
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2402.04521

Abstract

We construct new examples of immortal mean curvature flow of smooth embedded connected hypersurfaces in closed manifolds, which converge to minimal hypersurfaces with multiplicity 2 as time approaches infinity.

Related

• Mean curvature flow with multiplicity 2 convergence in ℝ³
• On the long-time limit of the mean curvature flow in closed manifolds
• Collapsing of Mean Curvature Flow of Hypersurfaces to Complex Submanifolds
• Blow Up of Compact Mean Curvature Flow Solutions with Bounded Mean Curvature
• Mean Curvature Flow of Higher Codimension in Hyperbolic Spaces