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

By Katsuhiko Matsuzaki

A Kleinian staff is a discrete subgroup of the isometry staff of hyperbolic 3-space, that is additionally considered as a subgroup of Möbius ameliorations within the complicated airplane. the current e-book is a accomplished consultant to theories of Kleinian teams from the viewpoints of hyperbolic geometry and complicated research. After 1960, Ahlfors and Bers produced very important paintings which helped make Kleinian teams an energetic region 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 an enormous advanced dynamical strategy. This publication offers the basic effects and key theorems valuable for entry to the frontiers of the speculation from a contemporary viewpoint.

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