Metric Structures for Riemannian and Non-Riemannian Spaces
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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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1Topics & keywords
Topics
Keywords
- Fundamental theorem of Riemannian geometry
- Levi-Civita connection
- Metric (unit)
- Riemannian geometry
- Mathematics
- Pure mathematics
- Riemannian submersion
- Geometry
UN Sustainable Development Goals
- Reduced inequalities
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