L. Mazet - Minimal hypersurfaces of least area

Laurent Mazet (1) , Fanny Bastien (2) , Pauline Martinet (2)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées
2 IF - Institut Fourier

In this talk, I will present a joint work with H. Rosenberg where we give a characterization of the minimal hypersurface of least area in any Riemannian manifold. As a consequence, we give a lower bound for the area of a minimal surface in a hyperbolic 3-manifold.

Mots clés: institut fourier; geometric analysis; minimal hypersurfaces; topology; metric geometry; least aera; summer school 2016; grenoble

Mots clés: école d'été 2016; EEM2016; Topologie; Géométrie des espaces métriques; Analyse géométrique

Domaines: Mathématiques [math]; Géométrie métrique [math.MG]

Laurent Mazet, Fanny Bastien, Pauline Martinet. L. Mazet - Minimal hypersurfaces of least area : Summer School 2016 - Geometric analysis, metric geometry and topology. 2016. ⟨medihal-01347442⟩