Titlebook: Complex Kleinian Groups; Angel Cano,Juan Pablo Navarrete,José Seade Book 2013 Springer Basel 2013 Kleinian groups.complex hyperbolic geome

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Kleinian Groups with a Control Group,sider Kleinian subgroups of PSL(3, .) whose geometry and dynamics are “governed” by a subgroup of PSL(2, .). That is the subject we address in this chapter. The corresponding subgroup in PSL(2 ,.) is the .. These groups play a significant role in the classification theorems we give in ..

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A Glance at the Classical Theory,Classical Kleinian groups are discrete subgroups of Möbius transformations which act on the Riemann sphere with a nonempty region of discontinuity. This includes Fuchsian groups, Schottky groups and many other interesting families.

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Projective Orbifolds and Dynamics in Dimension 2,Köbe’s retrosection theorem says that every compact Riemann surface is isomorphic to an orbit space Ω/Ґ, where Ω is an open set in the Riemann sphere S2 = PC and Ґ is a discrete subgroup of PSL(2,C) that leaves Ω invariant; in fact Γ is a Schottky group.