Spherical minimal networks of great-circle arcs with 120° junctions are locally length-minimizing only within sufficiently small geodesic balls on S².
The calibration method for free discontinuity problems[C]//Casacuberta C, et al
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Minimal networks on S^2
Spherical minimal networks of great-circle arcs with 120° junctions are locally length-minimizing only within sufficiently small geodesic balls on S².