Accepted Paper

Inserted: 22 jun 2019
Last Updated: 1 dec 2020

Journal: J. Differential Geom.
Year: 2019

Abstract:

We construct a Riemannian metric \(g\) on \(\mathbb{R}^4\) (arbitrarily close to the euclidean one) and a smooth simple closed curve \(\Gamma\subset \mathbb R^4\) such that the unique area minimizing surface spanned by \(\Gamma\) has infinite topology. Furthermore the metric is almost Kahler and the area minimizing surface is calibrated.

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• Infinite_topology_23.pdf