20.500.12556/DiRROS-18630 The Calabi-Yau problem for minimal surfaces with Cantor ends We show that every connected compact or bordered Riemann surface contains a Cantor set whose complement admits a complete conformal minimal immersion in ${\mathbb R}^3$ with bounded image. The analogous result holds for holomorphic immersions into any complex manifold of dimension at least $2$, for holomorphic null immersions into ${\mathbb C}^n$ with $n \ge 3$, for holomorphic Legendrian immersions into an arbitrary complex contact manifold, and for superminimal immersions into any selfdual or anti-self-dual Einstein four-manifold. minimal surfaces Calabi–Yau problem null curve Legendrian curve minimalne ploskve problem Calabi–Yau ničelna krivulja Legendrove krivulje true false true Angleški jezik Slovenski jezik Neznano 2024-04-08 11:06:17 2024-04-08 11:06:17 2024-04-09 03:40:10 0000-00-00 00:00:00 2023 0 0 str. 2067-2077 no. 6 Vol. 39 2023 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2023-01-01 517.5 0213-2230 10.4171/RMI/1365 176903939 10.4171-rmi-1365-1.pdf 10.4171-rmi-1365-1.pdf 1 0BAFE7232DED29B49FB74D3E58B0F5E6 161e9b1aef0b498c2ce311ea719ad8a28b65045fa1ff144fe1ecc6b608488199 af0ae75d-f576-11ee-ae20-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=25432 https://ems.press/journals/rmi/articles/6866102 1 7f5e2883-f576-11ee-ae20-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=25431 Inštitut za matematiko, fiziko in mehaniko 0 0 0