Automorphisms of Two-generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane - Couverture souple

Goldman, William; McShane, Greg; Stantchev, George; Tan, Ser Peow

Couverture souple

ISBN 10 : 1470436140 ISBN 13 : 9781470436148

Editeur : American Mathematical Society, 2019

Synopsis

The automorphisms of a two-generator free group $\mathsf F_2$ acting on the space of orientation-preserving isometric actions of $\mathsf F_2$ 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 $\Gamma $ on $\mathbb R ^3$ by polynomial automorphisms preserving the cubic polynomial $ \kappa _\Phi (x,y,z) := -x^{2} -y^{2} + z^{2} + x y z -2 $ and an area form on the level surfaces $\kappa _{\Phi}^{-1}(k)$.

A propos du livre

À propos de l'auteur

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.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2019
• Langue: anglais
• ISBN 10: 1470436140
• ISBN 13: 9781470436148
• Reliure: Broché
• Nombre de pages: 78
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible