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

· · ·
· American Mathematical Soc.
Ebook
78
Pages

About this ebook

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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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 redu...

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About the author

William Goldman: University of Maryland, College Park, Maryland,
Greg McShane: Institut Fourier, Grenoble, France,
George Stantchev: University of Maryland, College Park, Maryland,
Ser Peow Tan: University of Singapore, Singapore, Singapore

William Goldman: University of Maryland, College Park, Maryland, Greg McShane: Institut Fourier, Grenoble, France, George Stantchev: University of Maryland, College Park, Maryland, Ser Peow Tan: University of Singapore, Singapore, Singapore

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