On minimal surfaces bounded by two convex curves in parallel planes

Martin Traizet (1)

1 LMPT - Laboratoire de Mathématiques et Physique Théorique

We prove that a compact minimal surface bounded by two closed convexe curves in parallel planes close enough to each other must be topologically an annulus.

Domaines: Géométrie différentielle [math.DG]

Martin Traizet. On minimal surfaces bounded by two convex curves in parallel planes. Commentarii Mathematici Helvetici, 2010, 85, pp.39--71. ⟨hal-00281616⟩