On the Gauss maps of complete minimal surfaces in ${\mathbb{R}}^n$

Abstract

We prove that the Gauss map of a non-flat complete minimal surface immersed in ${\mathbb{R}}^n$ can omit a generic hypersurface $D$ of degree at most $n^{n+2}(n+1{)}^{n+2}$.

13 pages, comments are welcome. arXiv admin note: text overlap with arXiv:2012.12656, arXiv:1704.03358

References in corpus (1)

• Towards the Green-Griffiths-Lang conjecture via equivariant localisation