ON MINIMAL SURFACES WHOSE GAUSS MAP IS INVARIANT BY A HOLOMORPHIC FOLIATION

ON MINIMAL SURFACES WHOSE GAUSS MAP IS INVARIANT BY A HOLOMORPHIC FOLIATION

Abstract

We study real minimal surfaces ψ: M 2 ↪ 4 under the hypothesis that the holomorphic Gauss map of the immersion is invariant by a holomorphic foliation with singularities. We give a sort of Huber–Osserman theorem regarding the algebraicity of the holomorphic Gauss map.