Harmonic maps between ideal 2-dimensional simplicial complexes
Differential Geometry
2018-10-17 v1
Abstract
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-Papadopoulos, who describe their Teichm\"uller spaces and some compactifications. This work is a first step in introducing harmonic map theory into the Teichm\"uller theory of these spaces.
Keywords
Cite
@article{arxiv.1810.06714,
title = {Harmonic maps between ideal 2-dimensional simplicial complexes},
author = {Brian Freidin and Victòria Gras Andreu},
journal= {arXiv preprint arXiv:1810.06714},
year = {2018}
}
Comments
27 pages, 7 figures