Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 44, 2019, 615-633

THE RICKMAN–PICARD THEOREM

Mario Bonk and Pietro Poggi-Corradini

University of California, Department of Mathematics
Los Angeles, CA 90095, U.S.A.; mbonk 'at' math.ucla.edu

Kansas State University, Department of Mathematics
Cardwell Hall, Manhattan, KS 66506, U.S.A.; pietro 'at' math.ksu.edu

Abstract. We give a new and conceptually simple proof of the Rickman–Picard theorem for quasiregular maps based on potential-theoretic methods.

2010 Mathematics Subject Classification: Primary 30D35, 30C65.

Key words: Quasiregular maps, Rickman–Picard theorem, A-subharmonic functions.

Reference to this article: M. Bonk and P. Poggi-Corradini: The Rickman–Picard theorem. Ann. Acad. Sci. Fenn. Math. 44 (2019), 615-633.

https://doi.org/10.5186/aasfm.2019.4446