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Automorphisms of Two-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane : Memoirs of the American Mathematical Society - William Goldman

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

Memoirs of the American Mathematical Society

Paperback Published: 30th June 2019
ISBN: 9781470436148
Number Of Pages: 78

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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 $kappa _{Phi}^{-1}(k)$.

ISBN: 9781470436148
ISBN-10: 1470436140
Series: Memoirs of the American Mathematical Society
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 78
Published: 30th June 2019
Publisher: American Mathematical Society
Country of Publication: US
Dimensions (cm): 25.4 x 17.8

Earn 377 Qantas Points
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