### Abstract

It is well known that space-like maximal surfaces and time-like minimal surfaces in Lorentz-Minkowski 3-space L ^{3} have singularities (i.e. points where the induced metric degenerates) in general. We are interested in the case where the singular set consists of a light-like line, since this case has not been analyzed before. In this Note, we give new examples of such surfaces.

Original language | English |
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Pages (from-to) | 975-978 |

Number of pages | 4 |

Journal | Comptes Rendus Mathematique |

Volume | 350 |

Issue number | 21-22 |

DOIs | |

Publication status | Published - 2012 Nov |

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Fujimori, S., Kim, Y. W., Koh, S. E., Rossman, W., Shin, H., Takahashi, H., Umehara, M., Yamada, K., & Yang, S. D. (2012). Zero mean curvature surfaces in L

^{3}containing a light-like line.*Comptes Rendus Mathematique*,*350*(21-22), 975-978. https://doi.org/10.1016/j.crma.2012.10.024