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arXiv · 2507.03837

When can minimal hypersurfaces be connected by mean curvature flow?

Jingwen Chen·Pedro Gaspar
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Abstract

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.

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Jingwen Chen, Pedro Gaspar. 2025-07-04. When can minimal hypersurfaces be connected by mean curvature flow?. https://arxiv.org/abs/2507.03837

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