14 citations · 14 across the 5 of their papers we have counts for
5 papers · 1 filter
Timelike Minimal Surfaces via Loop Groups
Jun-ichi Inoguchi, Magdalena Toda
We study manifolds with split-complex structure and apply some general results to the study of Lorentz surfaces. In particular, we apply our results to timelike minimal immersions.…
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 , with appropriate regularity conditions, and certain connection 1-forms. To these harmon…
Weierstrass-type Representation of Weakly Regular Pseudospherical Surfaces in Euclidean Space
Magdalena Toda
The paper presents a generalized Weierstrass representation for pseudospherical surfaces in terms of 3x3 matrices, using moving frames and loop group decompositions. The constructi…
Initial Value Problems of the Sine-Gordon Equation and Geometric Solutions
Magdalena Toda
Recent results using inverse scattering techniques interpret every solution of the sine-Gordon equation as a non-linear superposition of solutions along the axes and…
The Hyperbolic Geometry of the Sinh-Gordon Equation
Magdalena Toda
This preliminary report studies immersed surfaces of constant mean curvature in through their {\it adjusted Gauss maps} (as harmonic maps in ) and their {\it adjusted fr…