Asian Journal of Mathematics

Volume 19 (2015)

Number 4

Simplicial energy and simplicial harmonic maps

Pages: 593 – 636

DOI: http://dx.doi.org/10.4310/AJM.2015.v19.n4.a2

Authors

Joel Hass (Department of Mathematics, University of California at Davis)

Peter Scott (Department of Mathematics, University of Michigan, Ann Arbor, Mich., U.S.A.)

Abstract

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.

Keywords

harmonic map, energy, area, minimal surface

2010 Mathematics Subject Classification

57M25

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