TitleNonclassical minimizing surfaces with smooth boundary
Publication TypeJournal Article
AuthorsDe Lellis C, De Philippis G, Hirsch J
Type of ArticleBoundary
Abstract

We construct a Riemannian metric g on R4 (arbitrarily close to the euclidean one) and a smooth simple closed curve Γ⊂R4 such that the unique area minimizing surface spanned by Γ has infinite topology. Furthermore the metric is almost Kahler and the area minimizing surface is calibrated.

Notes

To appear in Journal of Differential Geometry

Order: 
2