|Title||Nonclassical minimizing surfaces with smooth boundary|
|Publication Type||Journal Article|
|Authors||De Lellis C, De Philippis G, Hirsch J|
|Type of Article||Boundary|
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.
To appear in Journal of Differential Geometry