English

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

Complex Variables 2024-07-24 v1 Differential Geometry

Abstract

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

Keywords

Cite

@article{arxiv.2401.07195,
  title  = {On the Gauss maps of complete minimal surfaces in $\mathbb{R}^n$},
  author = {Dinh Tuan Huynh},
  journal= {arXiv preprint arXiv:2401.07195},
  year   = {2024}
}

Comments

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