Metric Structures for Riemannian and Non-Riemannian Spaces
Metric theory has undergone a dramatic phase transition in the last decades when its focus moved from the foundations of real analysis to Riemannian geometry and algebraic topology, to the theory of infinite groups and probability theory. The new wave began with seminal papers by Svarc and Milnor on...
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| Autor Corporativo: | |
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Boston, MA :
Birkhäuser Boston
2007.
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| Colección: | Modern Birkhäuser Classics.
Springer eBooks. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b32740748*spi |
Tabla de Contenidos:
- Preface to the French Edition
- Preface to the English Edition
- Introduction: Metrics Everywhere
- Length Structures: Path Metric Spaces
- Degree and Dilatation
- Metric Structures on Families of Metric Spaces
- Convergence and Concentration of Metrics and Measures
- Loewner Rediscovered
- Manifolds with Bounded Ricci Curvature
- Isoperimetric Inequalities and Amenability
- Morse Theory and Minimal Models
- Pinching and Collapse
- Appendix A: 'Quasiconvex' Domains in Rn
- Appendix B: Metric Spaces and Mappings Seen at Many Scales
- Appendix C: Paul Levy's Isoperimetric Inequality
- Appendix D: Systolically Free Manifolds
- Bibliography
- Glossary of Notation
- Index.
