International audienc

Given two convex curves γ 1 , γ 2 in parallel planes π 1 , π 2 of R 3 respectively, being γ 2 the orthogonal projection of γ 1 on π 2 . We prove in [1] the existence of a cmc surface spanning γ 1 , γ 2 , under hypotheses relating the geometry of the curves, the distance between the planes and the mean curvature. We also proved that the surface is a radial graph over a unit sphere. References[1] Aiolfi, A. J., Fusieger, P. and Ripoll, J. A note on doubly connected surfaces of constant mean curvature with prescribed boundary

No abstract

In this work, for given H , we investigate the existence of radial cmc H annulus spanning two given non necessarily convex Jordan curves in parallel planes of R 3 . We established some existence results under hypotheses relating the geometry of the curves and the distance between the planes.