Length minimizing paths in the hyperbolic plane: proof via paired subcalibrations

Helmandollar, Heather; Penrod, Keith

Illinois J. Math., Tome 51 (2007) no. 3, p. 723-729 / Harvested from Project Euclid

Résumé

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.

Publié le : 2007-07-15
Classification: 51M10, 49Q10

@article{1258131099,
     author = {Helmandollar, Heather and Penrod, Keith},
     title = {Length minimizing paths in the hyperbolic plane: proof via paired subcalibrations},
     journal = {Illinois J. Math.},
     volume = {51},
     number = {3},
     year = {2007},
     pages = { 723-729},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258131099}
}

Helmandollar, Heather; Penrod, Keith. Length minimizing paths in the hyperbolic plane: proof via paired subcalibrations. Illinois J. Math., Tome 51 (2007) no. 3, pp.  723-729. http://gdmltest.u-ga.fr/item/1258131099/