J. Dorfmeister

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math.DG2009

Symmetric Pseudospherical Surfaces I: General Theory

Josef F. Dorfmeister, Thomas A. Ivey, Ivan Sterling

We apply the loop group method developed by Zakharov-Shabat, Terng-Uhlenbeck and Toda to the study of symmetries of pseudospherical surfaces in R^3. In this paper (part I) we consi…

math.DG2006★ 8 cited

Generalized DPW method and an application to isometric immersions of space forms

David Brander, Josef Dorfmeister

Let $G$ be a complex Lie group and $Λ G$ denote the group of maps from the unit circle $S^{1}$ into $G$ , of a suitable class. A differentiable map $F$ from a manifold $M$ in…

math.DG2003

Weierstraß type representation of timelike surfaces with constant mean curvature

Josef Dorfmeister, Junichi Inoguchi, Magdalena Toda

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 harmon…