Book Review: Hyperbolic geometry from a local viewpoint

DOI10.1090/S0273-0979-08-01236-6zbMath1292.00027OpenAlexW2085567078MaRDI QIDQ5494741

Frederick P. Gardiner

Publication date: 29 July 2014

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-08-01236-6

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable (30-01) External book reviews (00A17)

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Cites Work

• The Caratheodory metric on abelian Teichmüller disks
• The collar theorem and examples
• Canonical polygons for finitely generated Fuchsian groups
• Frontiers in complex dynamics
• Random iteration of analytic maps
• Dynamics in One Complex Variable. (AM-160)
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