L. Mazet - Some aspects of minimal surface theory (Part 1)

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

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

In a Riemannian 3-manifold, minimal surfaces are critical points of the area functional and can be a useful tool to understand the geometry and the topology of the ambient manifold. The aim of these lectures is to give some basic definitions about minimal surface theory and present some results about the construction of minimal surfaces in Riemannian 3-manifolds.

Mots clés: grenoble; institut fourier; geometric analysis; metric geometry; Minimal surface theory; summer school 2016

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

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

Laurent Mazet, Fanny Bastien, Pauline Martinet. L. Mazet - Some aspects of minimal surface theory (Part 1) : Summer School 2016- Geometric analysis, metric geometry and topology. 2016. ⟨medihal-01347250⟩