Smooth curves and surfaces can be characterized as minimizers of squared curvature bending energies subject to constraints. In the univariate case with an isometry (length) constraint this leads classic non-linear splines. For surfaces, is too rigid a instead one asks for Willmore (squared mean curvature) energy conformality constraint. We present efficient algorithm (conformally) constrained u...

Skyrmions are chiral swirling magnetization structures with nanoscale size. These have attracted considerable attention due to their topological stability and promising applicability in nanodevices, since they can be displaced spin-polarized currents. However, for the comprehensive implementation of skyrmions devices, it is imperative also attain control over geometrical position. Here we show ...