5 citations · 14 across the 11 of their papers we have counts for
14 papers
On the connected components of the moduli space of equivariant minimal surfaces in
Ian McIntosh
An equivariant minimal surface in is a minimal map of the Poincaré disc into which intertwines two actions of the fundamental group of a closed surf…
The moduli spaces of equivariant minimal surfaces in and via Higgs bundles
John Loftin, Ian McIntosh
In this article we introduce a definition for the moduli space of equivariant minimal immersions of the Poincaré disc into a non-compact symmetric space, where the equivariance is…
Equivariant minimal surfaces in and their Higgs bundles
John Loftin, Ian McIntosh
This paper gives a construction for all minimal immersions of the Poincaré disc into the complex hyperbolic plane which are equivariant with respect to an irred…
Minimal Lagrangian submanifolds via the geodesic Gauss map
Chris Draper, Ian McIntosh
For an oriented isometric immersion the spherical Gauss map is the Legendrian immersion of its unit normal bundle into the unit sphere subbundle of ,…
Cubic Differentials in the Differential Geometry of Surfaces
John Loftin, Ian McIntosh
We discuss the local differential geometry of convex affine spheres in $\re^3$ and of minimal Lagrangian surfaces in Hermitian symmetric spaces. In each case, there is a natural me…
Minimal Lagrangian Surfaces in CH2 and Representations of Surface Groups into SU(2,1)
John Loftin, Ian McIntosh
We use an elliptic differential equation of Tzitzeica type to construct a minimal Lagrangian surface in CH2 from the data of a compact hyperbolic Riemann surface and a small holomo…