Geodesic
The Carathéodory Reflection Principle and Osgood–Carathéodory Theorem on Riemann Surfaces
Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 776-793

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

The Osgood–Carathéodory theorem asserts that conformal mappings between Jordan domains extend to homeomorphisms between their closures. For multiply-connected domains on Riemann surfaces, similar results can be reduced to the simply-connected case, but we find it simpler to deduce such results using a direct analogue of the Carathéodory reflection principle.
DOI : 10.4153/CMB-2016-051-1
Mots-clés : 30C25, 30F99, bordered Riemann surface, reflection principle, Osgood-Carathéodory 
Gauthier, Paul M.; Sharifi, Fatemeh. The Carathéodory Reflection Principle and Osgood–Carathéodory Theorem on Riemann Surfaces. Canadian mathematical bulletin, Tome 59 (2016) no. 4, pp. 776-793. doi: 10.4153/CMB-2016-051-1
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