2 citations · 6 across the 12 of their papers we have counts for
14 papers
Diagrams and harmonic maps, revisited
Rui Pacheco, John C. Wood
We extend many known results for harmonic maps from the 2-sphere into a Grassmannian to harmonic maps of finite uniton number from an arbitrary Riemann surface. Our method relies o…
Symmetric shift-invariant subspaces and harmonic maps
Alexandru Aleman, Rui Pacheco, John C. Wood
The Grassmannian model represents harmonic maps from Riemann surfaces by families of shift-invariant subspaces of a Hilbert space. We impose a natural symmetry condition on the shi…
Harmonic maps and shift-invariant subspaces
Alexandru Aleman, Rui Pacheco, John C. Wood
We investigate in detail the connection between harmonic maps from Riemann surfaces into the unitary group $\U(n)$ and their Grassmannian models: these are families of shift-invari…
Coloring Factors of Substitutive Infinite Words
A. Bernardino, M. Silva, R. Pacheco
In this paper, we consider infinite words that arise as fixed points of primitive substitutions on a finite alphabet and finite colorings of their factors. Any such infinite word e…
Evolutes of plane curves and null curves in Minkowski -space
Boaventura Nolasco, Rui Pacheco
We use the isotropic projection of Laguerre geometry in order to establish a correspondence between plane curves and null curves in the Minkowski -space. We describe the geometr…
Surfaces in obtained from harmonic maps in
Pedro Morais, Rui Pacheco
We will investigate the local geometry of the surfaces in the -dimensional Euclidean space associated to harmonic maps from a Riemann surface into . By applying methods…