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

doi:10.1016/j.crma.2012.10.024

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

19 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 language	English
Pages (from-to)	975-978
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	350
Issue number	21-22
DOIs	https://doi.org/10.1016/j.crma.2012.10.024
Publication status	Published - 2012 Nov

ASJC Scopus subject areas

Mathematics(all)

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10.1016/j.crma.2012.10.024

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AU - Fujimori, S.

AU - Kim, Y. W.

AU - Koh, S. E.

AU - Rossman, W.

AU - Shin, H.

AU - Takahashi, H.

AU - Umehara, M.

AU - Yamada, K.

AU - Yang, S. D.

PY - 2012/11

Y1 - 2012/11

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AB - 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.

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ER -

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

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