English

Bour's spacelike maximal and timelike minimal surfaces in the 3-dimensional Minkowski space

Differential Geometry 2014-02-21 v1

Abstract

Bour's minimal surface has remarkable properties in three dimensional Minkowski space. We reveal the definite and indefinite cases of the Bour's surface using Weierstrass representations, and give some differential geometric properties of the astonishing maximal and minimal surfaces.

Keywords

Cite

@article{arxiv.1402.4966,
  title  = {Bour's spacelike maximal and timelike minimal surfaces in the 3-dimensional Minkowski space},
  author = {Erhan Guler},
  journal= {arXiv preprint arXiv:1402.4966},
  year   = {2014}
}

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17 pages