Geodesic
Possibility of Uniform Rational Approximation in the Spherical Metric
Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 112-115

Voir la notice de l'article provenant de la source Cambridge University Press

Let ƒ b e a mapping defined on a compact subset K of the finite complex plane C and taking its values on the extended plane C ⋃ { ∞}. For x a metric on the extended plane, we consider the possibility of approximating ƒ x-uniformly on K by rational functions. Since all metrics on C ⋃ {oo } are equivalent, we shall consider that x is the chordal metric on the Riemann sphere of diameter one resting on a finite plane at the origin. 
Gauthier, P. M.; Roth, A.; Walsh, J. L. Possibility of Uniform Rational Approximation in the Spherical Metric. Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 112-115. doi: 10.4153/CJM-1976-013-0
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