activity
19942022
most citedHarmonic morphisms and the Jacobi operator

23 citations · 65 across the 19 of their papers we have counts for

collaborators

23 papers

math.DG2022

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…

math.FA2019

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…

math.FA2018

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…

math.DG2017

Harmonic maps into the orthogonal group and null curves

Maria João Ferreira, Bruno Ascenso Simões, John C. Wood

We find algebraic parametrizations of extended solutions of harmonic maps of finite uniton number from a surface to the orthogonal group O(n) in terms of free holomorphic data whic…

math.DG2013★ 1 cited

Harmonic maps into the exceptional symmetric space

Martin Svensson, John C. Wood

We show that a harmonic map from a Riemann surface into the exceptional symmetric space has a -holomorphic twistor lift into one of the three flag manifo…

math.DG2011

New constructions of twistor lifts for harmonic maps

Martin Svensson, John C. Wood

We show that given a harmonic map from a Riemann surface to a classical compact simply connected inner symmetric space, there is a -holomorphic twistor lift of (or its…