Algebraic Geometry

Download E-books Hyperbolic Manifolds and Kleinian Groups (Oxford Mathematical Monographs) PDF

By Katsuhiko Matsuzaki

A Kleinian workforce is a discrete subgroup of the isometry team of hyperbolic 3-space, that's additionally considered as a subgroup of Möbius differences within the advanced aircraft. the current e-book is a entire advisor to theories of Kleinian teams from the viewpoints of hyperbolic geometry and intricate research. After 1960, Ahlfors and Bers produced vital paintings which helped make Kleinian teams an lively quarter of advanced research as a department of Teichmüller conception. Later, Thurston caused a revolution within the box together with his profound research of hyperbolic manifolds, and Sullivan built a tremendous complicated dynamical procedure. This publication offers the basic effects and key theorems precious for entry to the frontiers of the speculation from a latest viewpoint.

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