Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78 / / G. Daniel Mostow.
Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity": this is a stronger form of the deformation rigidity that has been investigated by Selberg, Calabi-Vesentini...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1974 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
78 |
| Online Access: | |
| Physical Description: | 1 online resource (204 p.) |
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Table of Contents:
- Frontmatter
- Contents
- §1. Introduction
- §2. Algebraic Preliminaries
- §3. The Geometry of χ : Preliminaries
- §4. A Metric Definition of the Maximal Boundary
- §5. Polar Parts
- §6. A Basic Inequality
- §7. Geometry of Neighboring Flats
- §8. Density Properties of Discrete Subgroups
- §8. Density Properties of Discrete Subgroups
- § 10. Pseudo Isometries of Simply Connected Spaces with Negative Curvature
- §11. Polar Regular Elements in Co-Compact Γ
- § 12. Pseudo-Isometric Invariance of Semi-Simple and Unipotent Elements
- §13. The Basic Approximation
- §14. The Map ∅̅
- §15. The Boundary Map ∅0
- §16. Tits Geometries
- §17. Rigidity for R-rank > 1
- §18. The Restriction to Simple Groups
- §19. Spaces of R-rank 1
- §20. The Boundary Semi-Metric
- §21. Quasi-Conformal Mappings Over K and Absolute Continuity on Almost All R-Circles
- §22. The Effect of Ergodicity
- §23. R-Rank 1 Rigidity Proof Concluded
- §24. Concluding Remarks
- Bibliography
- Backmatter