Automorphisms ofTwo-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane

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  • Automorphisms ofTwo-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane Book Detail

  • Author : William Goldman
  • Release Date : 2019-06-10
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 92
  • ISBN 13 : 1470436140
  • File Size : 49,49 MB

Automorphisms ofTwo-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane by William Goldman PDF Summary

Book Description: The automorphisms of a two-generator free group F acting on the space of orientation-preserving isometric actions of F on hyperbolic 3-space defines a dynamical system. Those actions which preserve a hyperbolic plane but not an orientation on that plane is an invariant subsystem, which reduces to an action of a group on by polynomial automorphisms preserving the cubic polynomial and an area form on the level surfaces .

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