2 citations · 6 across the 12 of their papers we have counts for
9 papers · 1 filter
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…
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…
Harmonic spheres in outer symmetric spaces, their canonical elements and Weierstrass type representations
N. Correia, R. Pacheco
Making use of Murakami's classification of outer involutions in a Lie algebra and following the Morse-theoretic approach to harmonic two-spheres in Lie groups introduced by Burstal…
Harmonic maps of finite uniton number and their canonical elements
Nuno Correia, Rui Pacheco
We classify all harmonic maps with finite uniton number from a Riemann surface into an arbitrary compact simple Lie group , whether has trivial centre or not, in terms of ce…
Extended solutions of the harmonic map equation in the special unitary group
N. Correia, R. Pacheco
We classify all harmonic maps of finite uniton number from a Riemann surface into SU(n) in terms of certain pieces of the Bruhat decomposition of the subgroup of algebraic loops in…
Index and nullity of a family of harmonic tori in the sphere
Rui Pacheco
In this note we investigate the -index and the -nullity of vacuum solutions from the two-torus into the two sphere.
Bianchi-Bäcklund transforms and dressing actions, revisited
Rui Pacheco
We characterize Bianchi-Bäcklund transformations of surfaces of positive constant Gauss curvature in terms of dressing actions of the simplest type on the space of harmonic maps.
Adding a uniton via the DPW method
N. Correia, R. Pacheco
In this paper we describe how the operation of adding a uniton arises via the DPW method of obtaining harmonic maps into compact Riemannian symmetric spaces out of certain holomorp…