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Metric Structures for Riemannian and Non-Riemannian Spaces

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Book by Michail Gromov
Metric Structures for Riemannian and Non-Riemannian Spaces
AuthorMikhail Gromov
Original titleStructures métriques pour les variétés riemanniennes
TranslatorSean Michael Bates
LanguageEnglish
SubjectMathematics
GenreNon-fiction
PublisherBirkhäuser Boston
Publication date1999
Publication placeUnited States
Media typePrint
Pagesxx+585 pp
ISBN0-8176-3898-9

Metric Structures for Riemannian and Non-Riemannian Spaces is a book in geometry by Mikhail Gromov. It was originally published in French in 1981 under the title Structures métriques pour les variétés riemanniennes, by CEDIC (Paris).

History

The 1981 edition was edited by Jacques Lafontaine and Pierre Pansu. The English version, considerably expanded, was published in 1999 by Birkhäuser Verlag, with appendices by Pierre Pansu, Stephen Semmes, and Mikhail Katz. The book was well received and has been reprinted several times.

References

  1. Review by Igor Belegradek (MathSciNet)
  2. Review by Mircea Craioveanu (Zentralblatt Math)
Systolic geometry
1-systoles of surfaces
1-systoles of manifolds
Higher systoles


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