| Title | Nonclassical minimizing surfaces with smooth boundary |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Authors | De Lellis C, De Philippis G, Hirsch J |
| Journal | J. Differential Geom. |
| Volume | 122 |
| Start Page | 205 |
| 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 | J. Differential Geom. 122 (2022), no. 2, 205-222 |
| URL | https://projecteuclid.org/journals/journal-of-differential-geometry/volume-122/issue-2/Nonclassical-minimizing-surfaces-with-smooth-boundary/10.4310/jdg/1669998183.full |
| DOI | 10.4310/jdg/1669998183 |
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