Rips Theory

Part of the Modern Birkhäuser Classics book series (MBC)


Consider a pared 3-manifold (M, P) with incompressible boundary \(\partial_0 M\); let WM be the window of (M, P) and let G= π1 (M). We call an action G↷ (M) on a metric tree relatively elliptic (with respect to P) if the fundamental group of each component of the parabolic locus P has a global fixed point in T. The following theorem is crucial for the proof of the Hyperbolization Theorem as presented in this book.


Fundamental Group Vertex Group Measured Foliation Band Complex Transversal Measure 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Boston 2009

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of California, DavisDavisU.S.A.

Personalised recommendations