Zero mean curvature surfaces in L 3 containing a light-like line

S. Fujimori, Y. W. Kim, S. E. Koh, W. Rossman, H. Shin, H. Takahashi, M. Umehara, K. Yamada, S. D. Yang

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14 Citations (Scopus)

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 languageEnglish
Pages (from-to)975-978
Number of pages4
JournalComptes Rendus Mathematique
Volume350
Issue number21-22
DOIs
Publication statusPublished - Nov 1 2012

ASJC Scopus subject areas

  • Mathematics(all)

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    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