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<p>From the perspective of Morse theory, it is natural to investigate gradient flow trajectories between critical points. In this short note, we explore the minimal hypersurface analogue of this phenomenon and present examples that suggest additional topological and variational obstructions to the existence of connecting mean curvature flows.</p>

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When can minimal hypersurfaces be connected by mean curvature flow?

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月29日

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  • Jingwen Chen,
  • Pedro Gaspar

摘要

From the perspective of Morse theory, it is natural to investigate gradient flow trajectories between critical points. In this short note, we explore the minimal hypersurface analogue of this phenomenon and present examples that suggest additional topological and variational obstructions to the existence of connecting mean curvature flows.