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An analytic extension of a spacelike maximal surface

  • Sung-Eun Koh (a1)

Extract

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.

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References

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[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), 289316.
[2]Callahan, J.J., The geometry of spacetime (Springer-Verlag, New York, 2000).
[3]Choe, J., ‘On the analytic reflection of a minimal surface’, Pacific J. Math 157 (1993), 2936.
[4]Kobayashi, O., ‘Maximal surfaces in the 3-dimensional Minkowski space L 3’, Tokyo J. Math 6 (1983), 297309.
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An analytic extension of a spacelike maximal surface

  • Sung-Eun Koh (a1)

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