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Weierstraß type representation of timelike surfaces with constant mean curvature

Josef Dorfmeister·Junichi Inoguchi·Magdalena Toda
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Abstract

We derive a correspondence between (Lorentzian) harmonic maps into the pseudosphere $S_1^2$, 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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Josef Dorfmeister, Junichi Inoguchi, Magdalena Toda. 2003-07-20. Weierstraß type representation of timelike surfaces with constant mean curvature. https://arxiv.org/abs/math/0307273

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