Weierstra{\ss} type representation of timelike surfaces with constant mean curvature
Differential Geometry
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We derive a correspondence between (Lorentzian) harmonic maps into the pseudosphere , 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.
Keywords
Cite
@article{arxiv.math/0307273,
title = {Weierstra{\ss} type representation of timelike surfaces with constant mean curvature},
author = {Josef Dorfmeister and Junichi Inoguchi and Magdalena Toda},
journal= {arXiv preprint arXiv:math/0307273},
year = {2007}
}