Hostname: page-component-76fb5796d-vvkck Total loading time: 0 Render date: 2024-04-26T05:02:57.777Z Has data issue: false hasContentIssue false
  • English
  • Français

An analytic extension of a spacelike maximal surface

Published online by Cambridge University Press:  17 April 2009

Sung-Eun Koh
Sung-Eun Koh
Affiliation:
Department of Mathematics, Konkuk University, Seoul 143–701, Korea e-mail: sekoh@konkuk.ac.kr
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

It is shown that a spacelike maximal surface in the three dimensional Lorentz-Minkowski space can be extended analytically if it meets a spacelike plane at a constant hyperbolic angle.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 76 , Issue 1 , August 2007 , pp. 43 - 47
Copyright
Copyright © Australian Mathematical Society 2007

References

[1]Aias, L.J., Chaves, R.M.B. and Mira, P., ‘Bjöling problem for maximal surfaces in Lorents-Minkowski space’, Math. Proc. Cambridge Philos. Soc. 134 (2003), 289–316.Google Scholar
[2]Callahan, J.J., The geometry of spacetime (Springer-Verlag, New York, 2000).CrossRefGoogle Scholar
[3]Choe, J., ‘On the analytic reflection of a minimal surface’, Pacific J. Math 157 (1993), 29–36.CrossRefGoogle Scholar
[4]Kobayashi, O., ‘Maximal surfaces in the 3-dimensional Minkowski space L 3’, Tokyo J. Math 6 (1983), 297–309.CrossRefGoogle Scholar