1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DG2025
Quaternionic Analysis of Conformal Maps and the Willmore Functional
Ross Ogilvie, Martin Ulrich Schmidt
Quaternionic analysis, which describes conformal maps from Riemann surfaces into or , is extended to weakly conformal maps. As a consequence we present…
math.DG2020
The space of equivariant harmonic tori in the 3-sphere
Emma Carberry, Ross Ogilvie
In this paper we give an explicit parametrisation of the moduli space of equivariant harmonic maps from a 2-torus to the 3-sphere. As Hitchin proved, a harmonic map of a 2-torus is…
math.DG2018★ 1 cited
Whitham Deformations and the Space of Harmonic Tori in
Emma Carberry, Ross Ogilvie
In this paper we investigate the space of harmonic maps from a 2-torus to using the spectral curve correspondence and Whitham deformations. In an open and dense subs…