activity
20072019
most citedAdding a uniton via the DPW method

2 citations · 4 across the 5 of their papers we have counts for

collaborators

6 papers

math.DG2019

Harmonic surfaces in the Cayley plane

Nuno Correia, Rui Pacheco, Martin Svensson

We consider the twistor theory of nilconformal harmonic maps from a Riemann surface into the Cayley plane . By exhibiting this symmetric space…

math.DG2014★ 1 cited

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…

math.DG2014★ 1 cited

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…

math.DG2013

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…

math.DG2010

Harmonic maps of finite uniton number into

N. Correia, R. Pacheco

We establish explicit formulae for canonical factorizations of extended solutions corresponding to harmonic maps of finite uniton number into the exceptional Lie group in ter…

math.DG2007★ 2 cited

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…