Zero mean curvature surfaces in lorentz–minkowski 3-space which change type across a light-like line

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

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

It is well-known that space-like maximal surfaces and time-like minimal surfaces in Lorentz–Minkowski 3-space R31 have singularities in general. They are both characterized as zero mean curvature surfaces. We are interested in the case where the singular set consists of a light-like line, since this case has not been analyzed before. As a continuation of a previous work by the authors, we give the first example of a family of such surfaces which change type across a light-like line. As a corollary, we also obtain a family of zero mean curvature hypersurfaces in Rn+11 that change type across an (n - 1)-dimensional light-like plane.

Original languageEnglish
Pages (from-to)285-297
Number of pages13
JournalOsaka Journal of Mathematics
Volume52
Issue number1
Publication statusPublished - Jan 1 2015

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Zero mean curvature surfaces in lorentz–minkowski 3-space which change type across a light-like line'. Together they form a unique fingerprint.

  • Cite this

    Fujimori, S., Kim, Y. W., Koh, S. E., Rossman, W., Shin, H., Umehara, M., Yamada, K., & Yang, S. D. (2015). Zero mean curvature surfaces in lorentz–minkowski 3-space which change type across a light-like line. Osaka Journal of Mathematics, 52(1), 285-297.