Weierstra{\ss} type representation of timelike surfaces with constant mean curvature
Dorfmeister, Josef ; Inoguchi, Junichi ; Toda, Magdalena
arXiv, 0307273 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-07-20
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  Mathematics Subject Classification: 53A10, 58E20 
@article{0307273,
     author = {Dorfmeister, Josef and Inoguchi, Junichi and Toda, Magdalena},
     title = {Weierstra{\ss} type representation of timelike surfaces with constant
  mean curvature},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0307273}
}

Dorfmeister, Josef; Inoguchi, Junichi; Toda, Magdalena. Weierstra{\ss} type representation of timelike surfaces with constant
  mean curvature. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0307273/