We construct a Riemannian metric g on R4(arbitrarily close to the euclidean one) and a smooth simple closed curve Γ ⊂ R4such that the unique area minimizing surface spanned by Γ has infinite topology. Furthermore the metric is almost Kähler and the area minimizing surface is calibrated.
|Original language||English (US)|
|Number of pages||18|
|Journal||Journal of Differential Geometry|
|State||Published - Oct 2022|
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology