4 papers · 1 filter
Harmonic maps between 2-dimensional simplicial complexes 2
Brian Freidin, Victoria Gras Andreu
We study metrics on two-dimensional simplicial complexes that are conformal either to flat Euclidean metrics or to the ideal hyperbolic metrics described by Charitos and Papadopoul…
Harmonic maps between ideal 2-dimensional simplicial complexes
Brian Freidin, Victòria Gras Andreu
We prove existence and regularity results for energy minimizing maps between ideal hyperbolic 2-dimensional simplicial complexes. The spaces in question were introduced by Charitos…
Area Bounds for Free Boundary Minimal Surfaces in a Geodesic Ball in the Sphere
Brian Freidin, Peter McGrath
We extend to higher dimensions earlier sharp bounds for the area of two dimensional free boundary minimal surfaces contained in a geodesic ball of the round sphere. This follows wo…
A Liouville-type theorem and Bochner formula for harmonic maps into metric spaces
Brian Freidin, Yingying Zhang
We study analytic properties of harmonic maps from Riemannian polyhedra into CAT() spaces for . Locally, on each top-dimensional face of the domain, this amounts to…