Concentration of CMC Surfaces in a 3-manifold

Paul Laurain (1)

1 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche

We prove that simply connected H-surfaces with small diameter in a 3-manifold necessarily concentrate at a critical point of the scalar curvature.

Domaines: Géométrie différentielle [math.DG]

Paul Laurain. Concentration of CMC Surfaces in a 3-manifold. International Mathematics Research Notices, 2012, 2012 (24), pp.5585-5649. ⟨10.1093/imrn/rnr259⟩. ⟨hal-03861117⟩