The Ahlfors-Schwarz lemma, curvature, distance and distortion
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 45 (2020), p. 67
In this paper, we consider versions of the Ahlfors-Schwarz lemma related to ultrahyperbolic metric, quasiconformal harmonic and holomorphic functions (including several dimensions versions) and harmonic mappings. Our exposition includes some recently obtained results.
Classification :
30F45, 32G15
Keywords: hyperbolic metric, ultrahyperbolic metric, harmonic quasiregular maps, negatively curved metrics
Keywords: hyperbolic metric, ultrahyperbolic metric, harmonic quasiregular maps, negatively curved metrics
@article{BASS_2020_45_a4,
author = {Miodrag Mateljevi\'c},
title = {The {Ahlfors-Schwarz} lemma, curvature, distance and distortion},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {67 },
year = {2020},
volume = {45},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASS_2020_45_a4/}
}
TY - JOUR AU - Miodrag Mateljević TI - The Ahlfors-Schwarz lemma, curvature, distance and distortion JO - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles PY - 2020 SP - 67 VL - 45 UR - http://geodesic.mathdoc.fr/item/BASS_2020_45_a4/ LA - en ID - BASS_2020_45_a4 ER -
Miodrag Mateljević. The Ahlfors-Schwarz lemma, curvature, distance and distortion. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 45 (2020), p. 67 . http://geodesic.mathdoc.fr/item/BASS_2020_45_a4/