Weierstraß type representation of timelike surfaces with constant mean curvature
Josef Dorfmeister, Junichi Inoguchi, Magdalena Toda
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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