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20082017
most citedAll harmonic 2-spheres in the unitary group, completely explicitly

1 citations · 3 across the 4 of their papers we have counts for

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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.DG2015

A note on the spectral deformation of harmonic maps from the two-sphere into the unitary group

Maria João Ferreira, Bruno Ascenso Simões

In [5], together with J. C. Wood, the authors gave a completely explicit formula for all harmonic maps from -spheres to the unitary group in terms of freely chosen meromo…

math.DG2010★ 1 cited

Explicit construction of harmonic two-spheres into the complex Grassmannian

Maria Joao Ferreira, Bruno Ascenso Simoes

We present an explicit description of all harmonic maps of finite uniton number from a Riemann surface into a complex Grassmannian. Namely, starting from a constant map and a c…

math.DG2010★ 1 cited

Twistorial constructions of harmonic morphisms and Jacobi fields

Bruno Ascenso Simões

Twistor methods provide a powerful tool in the study of harmonic maps and harmonic morphisms. Indeed, their use has enabled us to produce a variety of examples of harmonic morphism…

math.DG2008★ 1 cited

All harmonic 2-spheres in the unitary group, completely explicitly

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

We give a completely explicit formula for all harmonic maps of finite uniton number from a Riemann surface to the unitary group U(n) in any dimension, and so all harmonic maps from…