English

On the classification of ruled minimal surfaces in pseudo-Euclidean space

Differential Geometry 2018-10-18 v2

Abstract

This paper gives, in generic situations, a complete classification of ruled minimal surfaces in pseudo-Euclidean space with arbitrary index. In addition, we discuss the condition for ruled minimal surfaces to exist, and give a counter-example on the problem of Bernstein type.

Keywords

Cite

@article{arxiv.1705.03187,
  title  = {On the classification of ruled minimal surfaces in pseudo-Euclidean space},
  author = {Yuichiro Sato},
  journal= {arXiv preprint arXiv:1705.03187},
  year   = {2018}
}

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14 pages