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 the growth of groups and the spectacular proof of the rigidity of lattices by Mostow. This progress was followed by the creation of the asymptotic metric theory of infinite groups by Gromov.The structural metric approach to the Riemannian category, tracing back to Cheeger's thesis, pivots around the notion of the Gromov-Hausdorff distance between R…
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Produktdetails
- ISBN: 978-0-8176-4583-0
- EAN: 9780817645830
- Produktnummer: 12838950
- Verlag: Springer-Verlag GmbH
- Sprache: Englisch
- Plattform: PDF
- Masse: 27'164 KB
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