Ressource pédagogique : Reto Buzano - Minimal hypersurfaces with bounded index and bounded area

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We study sequences of closed minimal hypersurfaces (in closed Riemannian manifolds) that have uniformly bounded index and area. In particular, we develop a bubbling result which yields a bound on the total curvature along the sequence. As a consequence, we obtain qualitative control on the topology of minimal hypersurfaces in terms of index and area. This is joint work with Ben Sharp.

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• Mathématiques (510)

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