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Metric Structures for Riemannian and Non-Riemannian Spaces
Abstract
An English translation of the famous "Green Book" by Lafontaine and Pansu (1979). This work also includes four appendices, by Gromov on Levy's inequality, by Pansu on "quasiconvex" domains, by Katz on systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures, as well as a bibliography and index.
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Citations
Cited by
Burago, D., Burago, Y., & Ivanov, S. (2001) · Graduate Studies in Mathematics · doi:10.1090/gsm/033 · Cited by 2,598
Hyperbolic geometry of complex networks
Krioukov, D., Papadopoulos, F., Kitsak, M., Vahdat, A., & Boguñá, M. (2010) · Physical Review E · doi:10.1103/physreve.82.036106 · Cited by 1,059
The Ricci Flow: An Introduction
Chow, B., & Knopf, D. (2004) · Mathematical Surveys and Monographs · doi:10.1090/surv/110 · Cited by 579
Gromov‐Hausdorff Stable Signatures for Shapes using Persistence
Chazal, F., Cohen‐Steiner, D., Guibas, L. J., Mémoli, F., & Oudot, S. Y. (2009) · Computer Graphics Forum · doi:10.1111/j.1467-8659.2009.01516.x · Cited by 225
Convergence in distribution of random metric measure spaces (Λ-coalescent measure trees)
Greven, A., Pfaffelhuber, P., & Winter, A. (2009) · Probability Theory and Related Fields · doi:10.1007/s00440-008-0169-3 · Cited by 157
Metadata
- Venue
- Modern Birkhäuser Classics
- Publisher
- Birkhäuser Boston
- Published
- 2007
- OpenAlex
- W1483679902
- Cited by
- 1,694
- References
- 0
- FWCI
- 26.36
- Type
- book
- Language
- en
- Open access
- closed
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