The space of embedded periodic minimal surfaces

Laurent Hauswirth (1) , Martin Traizet (2)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées
2 LMPT - Laboratoire de Mathématiques et Physique Théorique

Applying implicit function theorem, we describe the space moduly structure of non-degenerate doubly periodic minimal surfaces. Non-degenerate mean that bounded Jacobi fields, zero at the end are ambient isometry.

Domains: Differential Geometry [math.DG]

Laurent Hauswirth, Martin Traizet. The space of embedded periodic minimal surfaces. Indiana University Mathematics Journal, 2002, 51 (5), pp.1041-1079. ⟨hal-00796838⟩