Mathematics – Differential Geometry
Scientific paper
2003-07-20
Differential Geometry and Integrable Systems, Contemporary Mathematics AMS, vol.308, 2002
Mathematics
Differential Geometry
Scientific paper
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.
Dorfmeister Josef
Inoguchi Jun-ichi
Toda Magdalena
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