On the genus of triply periodic minimal surfaces
Résumé
We prove the existence of embedded minimal surfaces of arbitrary genus at least 3 in any flat 3-torus. In fact we construct a sequence of such surfaces converging to a planar foliation of the 3-torus. In particular, the area of the surface can be chosen arbitrarily large.
Domaines
Géométrie différentielle [math.DG]
Origine : Fichiers produits par l'(les) auteur(s)
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