Asian Journal of Mathematics
Volume 19 (2015)
Simplicial energy and simplicial harmonic maps
Pages: 593 – 636
We introduce a combinatorial energy for maps of triangulated surfaces with simplicial metrics and analyze the existence and uniqueness properties of the corresponding harmonic maps. We show that some important applications of smooth harmonic maps can be obtained in this setting.
harmonic map, energy, area, minimal surface
2010 Mathematics Subject Classification