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Kleinian Groups and Geometric Function Theory

Hiroshige Shiga () and Toshiyuki Sugawa ()
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Hiroshige Shiga: Kyoto Sangyo University, Department of Mathematics
Toshiyuki Sugawa: Tohoku University, Graduate School of Information Sciences

Chapter Chapter 7 in In the Tradition of Thurston III, 2024, pp 249-274 from Springer

Abstract: Abstract A Kleinian group divides the Riemann sphere into two parts, the region of discontinuity and the limit set. We are interested in analytic properties of these sets from the view-point of geometric function theory.

Keywords: Quasiconformal mapping; Uniformly perfect set; Kleinian group; Teichmüller space; Primary 30C62; Secondary 30F40; 30F60; 57K32 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/978-3-031-43502-7_7

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