Semigroups of Isometries of the Hyperbolic Plane

DOI10.1093/IMRN/RNAA291OpenAlexW3113006716WikidataQ115538961 ScholiaQ115538961MaRDI QIDQ5075179

Matthew Jacques, Ian Short

Publication date: 10 May 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.00576

zbMATH Keywords

Möbius transformationsFuchsian groupsJørgensen's inequalityplane hyperbolic isometries

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Semigroups of transformations, relations, partitions, etc. (20M20) Transformation groups and semigroups (topological aspects) (54H15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Inequalities and extremum problems in real or complex geometry (51M16) Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps (37F44) Fuchsian and Kleinian groups as dynamical systems (37F32)

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