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Vidéo Année : 2016

R. Buzano - Minimal hypersurfaces with bounded index and bounded area

Afficher 

Fanny Bastien
Pauline Martinet
  • Fonction : Monteur
  • PersonId : 987134

Résumé

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.

Dates et versions

medihal-01347449 , version 1 (21-07-2016)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

  • HAL Id : medihal-01347449 , version 1

Citer

Buzano Reto, Fanny Bastien, Pauline Martinet. R. Buzano - Minimal hypersurfaces with bounded index and bounded area : Summer School 2016 - Geometric analysis, metric geometry and topology. 2016. ⟨medihal-01347449⟩
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