Abstract
Minimization proofs using paired calibrations have in the past been done with vector fields of divergence zero. We generalize this method to find the shortest network connecting four points in the hyperbolic plane.
Citation
Heather Helmandollar. Keith Penrod. "Length minimizing paths in the hyperbolic plane: proof via paired subcalibrations." Illinois J. Math. 51 (3) 723 - 729, Fall 2007. https://doi.org/10.1215/ijm/1258131099
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