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December 2008 An Appendix to the Weierstrass Representation of a Maximal Spacelike Surface in $\mathbb{L}^3$
Maria Luiza LEITE
Tokyo J. Math. 31(2): 343-345 (December 2008). DOI: 10.3836/tjm/1233844056

Abstract

In this note we uncover some analytical properties of the Weierstrass pair $\{g,\eta\}$ representing an oriented and connected maximal surface in Minkowski space $\mathbb{L}^3$, proving that $g$ is holomorphic with values in the unit disk $\mathbb{D}$ and $\eta$ is a holomorphic 1-form that never vanishes.

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Maria Luiza LEITE. "An Appendix to the Weierstrass Representation of a Maximal Spacelike Surface in $\mathbb{L}^3$." Tokyo J. Math. 31 (2) 343 - 345, December 2008. https://doi.org/10.3836/tjm/1233844056

Information

Published: December 2008
First available in Project Euclid: 5 February 2009

zbMATH: 1172.53006
MathSciNet: MR2477876
Digital Object Identifier: 10.3836/tjm/1233844056

Subjects:
Primary: 53C50

Rights: Copyright © 2008 Publication Committee for the Tokyo Journal of Mathematics

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Vol.31 • No. 2 • December 2008
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