14 citations · 15 across the 7 of their papers we have counts for
7 papers
Discrete surfaces of constant mean curvature via dressing
Guido Haak
We translate a classification scheme for periodic CMC surfaces developed by J. Dorfmeister and the author to discrete CMC surfaces in the sense of A. Bobenko and U. Pinkall. The sc…
Investigation and application of the dressing action on surfaces of constant mean curvature
Josef Dorfmeister, Guido Haak
We investigate the dressing action on surfaces of constant mean curvature (CMC surfaces) in Euclidean space. In particluar, we show that for CMC surfaces with umbilics the isotropy…
On a theorem by do Carmo and Dajczer
Guido Haak
We give a new proof of a theorem by M.P. do Carmo and M. Dajczer on helicoidal surfaces of constant mean curvature.
On constant mean curvature surfaces with periodic metric
Josef Dorfmeister, Guido Haak
We investigate CMC-surfaces with periodic metric in a dressing orbit of the cylinder. It is shown, that such surfaces are always of finite type. Using the periodicity conditions fo…
Meromorphic Potentials and Smooth CMC Surfaces
J. Dorfmeister, G. Haak
This work is based on the approach developed by J.~Dorfmeister, F.~Pedit and H.~Wu [GANG and KITCS preprint, Report KITCS94-4-1] to construct maps , being t…
Negative Flows of the KP-Hierarchy
G. Haak
We construct a Grassmannian-like formulation for the potential KP-hierarchy including additional ``negative'' flows. Our approach will generalize the notion of a tau-function to in…
Group Theoretical Symmetries and Generalized Baecklund Transformations for Integrable Systems
G. Haak
We present a notion of symmetry for 1+1-dimensional integrable systems which is consistent with their group theoretic description and reproduces in special cases the known Baecklun…