15 citations · 16 across the 2 of their papers we have counts for
5 papers
Polynomial conserved quantities for constrained Willmore surfaces
Áurea Casinhas Quintino, Susana Duarte Santos
We define a hierarchy of special classes of constrained Willmore surfaces by means of the existence of a polynomial conserved quantity of some type, filtered by an integer. Type 1…
Dressing transformations of constrained Willmore surfaces
Francis Burstall, Áurea Quintino
We use the dressing method to construct transformations of constrained Willmore surfaces in arbitrary codimension. An adaptation of the Terng--Uhlenbeck theory of dressing by simpl…
Transformations of harmonic bundles and Willmore surfaces
A. C. Quintino
Willmore surfaces are the extremals of the Willmore functional (possibly under a constraint on the conformal structure). With the characterization of Willmore surfaces by the (poss…
Darboux transforms and simple factor dressing of constant mean curvature surfaces
F. E. Burstall, J. F. Dorfmeister, K. Leschke +1
We define a transformation on harmonic maps from a Riemann surface into the 2-sphere which depends on a complex parameter, the so-called mu-Darboux transformation. In the case when…
Constrained Willmore Surfaces: Symmetries of a Moebius Invariant Integrable System
Áurea Casinhas Quintino
This work is dedicated to the study of the Moebius invariant class of constrained Willmore surfaces and its symmetries. We define a spectral deformation by the action of a loop of…