No breather theorems for the mean curvature flow

• Autores: Liang Cheng, Yongjia Zhang
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 27, Nº 1, 2026, págs. 145-165
• Idioma: inglés
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• Resumen

  • In this article we study the breathers of the mean curvature flow in the Euclidean space. A breather is a solution to the mean curvature flow which repeats itself up to isometry and scaling once in a while. We prove several nobreather theorems in the noncompact category, showing that, under certain conditions, a breather of the mean curvature flow must be a solitonic solution (selfshrinker, self-expander, or translator).