Weierstraß type representation of timelike surfaces with constant mean curvature

2003/07/20 by Josef Dorfmeister, Junichi Inoguchi, Magdalena Toda
Mathematics · Physics and Astronomy · #math.DG #math-ph #math.MP #msc:53A10 #msc:58E20

paper · pdf

published as Differential Geometry and Integrable Systems, Contemporary Mathematics AMS, vol.308, 2002

arxiv created 2003/07/20 · arxiv updated 2009/12/01

Abstract

We derive a correspondence between (Lorentzian) harmonic maps into the pseudosphere S₁², with appropriate regularity conditions, and certain connection 1-forms. To these harmonic maps, we associate a representation of type Weierstrass, and we apply it to construct timelike surfaces with constant mean curvature.

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