Front Matter
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Table of Contents
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Introduction
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Algebraic Preliminaries
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The Geometry of X:: Preliminaries
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A Metric Definition of the Maximal Boundary
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Polar Parts
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A Basic Inequality
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Geometry of Neighboring Flats
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Density Properties of Discrete Subgroups
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Pseudo-Isometries
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Pseudo Isometries of Simply Connected Spaces with Negative Curvature
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Polar Regular Elements in Co-Compact Γ
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Pseudo-Isometric Invariance of Semi-Simple and Unipotent Elements
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The Basic Approximation
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The Map Ø̄
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The Boundary Map Ø0
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Tits Geometries
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Rigidity for R-rank > 1
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The Restriction to Simple Groups
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Spaces of R-rank 1
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The Boundary Semi-Metric
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Quasi-Conformal Mappings Over K and Absolute Continuity on Almost All R-Circles
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The Effect of Ergodicity
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R-Rank 1 Rigidity Proof Concluded
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Concluding Remarks
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Bibliography
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Back Matter
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