English

Modified defect relations of the Gauss map and the total curvature of a complete minimal surface

Differential Geometry 2017-10-13 v2

Abstract

In this article, we propose some conditions on the modified defect relations of the Gauss map of a complete minimal surface MM to show that MM has finite total curvature.

Keywords

Cite

@article{arxiv.1710.03601,
  title  = {Modified defect relations of the Gauss map and the total curvature of a complete minimal surface},
  author = {Pham Hoang Ha},
  journal= {arXiv preprint arXiv:1710.03601},
  year   = {2017}
}

Comments

22 pages. the references and the introduction were changed. arXiv admin note: substantial text overlap with arXiv:1710.02023; text overlap with arXiv:1411.2730