Automorphisms ofTwo-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane
Author | : William Goldman |
Publisher | : American Mathematical Soc. |
Total Pages | : 92 |
Release | : 2019-06-10 |
ISBN-10 | : 9781470436148 |
ISBN-13 | : 1470436140 |
Rating | : 4/5 (48 Downloads) |
Book Synopsis Automorphisms ofTwo-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane by : William Goldman
Download or read book Automorphisms ofTwo-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane written by William Goldman and published by American Mathematical Soc.. This book was released on 2019-06-10 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 .