Title Nonclassical minimizing surfaces with smooth boundary Publication Type Journal Article Authors De Lellis C, De Philippis G, Hirsch J Type of Article Boundary 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
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