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- Gromov_norm abstract "In mathematics, the Gromov norm (or simplicial volume) of a compact oriented n-manifold is a norm on the homology (with real coefficients) given by minimizing the sum of the absolute values of the coefficients over all singular chains representing a cycle. The Gromov norm of the manifold is the Gromov norm of the fundamental class.It is named after Mikhail Gromov, who with William Thurston, proved that the Gromov norm of a finite volume hyperbolic n-manifold is proportional to the hyperbolic volume. Thurston also used the Gromov norm to prove that hyperbolic volume decreases under hyperbolic Dehn surgery.".
- Gromov_norm wikiPageExternalLink Simplicial_volume.
- Gromov_norm wikiPageID "11197892".
- Gromov_norm wikiPageLength "1795".
- Gromov_norm wikiPageOutDegree "11".
- Gromov_norm wikiPageRevisionID "606989151".
- Gromov_norm wikiPageWikiLink Category:Homology_theory.
- Gromov_norm wikiPageWikiLink Category:Norms_(mathematics).
- Gromov_norm wikiPageWikiLink Fundamental_class.
- Gromov_norm wikiPageWikiLink Homology_(mathematics).
- Gromov_norm wikiPageWikiLink Homology_theory.
- Gromov_norm wikiPageWikiLink Hyperbolic_Dehn_surgery.
- Gromov_norm wikiPageWikiLink Hyperbolic_manifold.
- Gromov_norm wikiPageWikiLink Hyperbolic_volume.
- Gromov_norm wikiPageWikiLink Manifold.
- Gromov_norm wikiPageWikiLink Mathematics.
- Gromov_norm wikiPageWikiLink Mikhail_Gromov_(mathematician).
- Gromov_norm wikiPageWikiLink Mikhail_Leonidovich_Gromov.
- Gromov_norm wikiPageWikiLink William_Thurston.
- Gromov_norm wikiPageWikiLinkText "Gromov norm".
- Gromov_norm hasPhotoCollection Gromov_norm.
- Gromov_norm wikiPageUsesTemplate Template:Geometry-stub.
- Gromov_norm wikiPageUsesTemplate Template:Reflist.
- Gromov_norm subject Category:Homology_theory.
- Gromov_norm subject Category:Norms_(mathematics).
- Gromov_norm hypernym Norm.
- Gromov_norm type Article.
- Gromov_norm type Article.
- Gromov_norm comment "In mathematics, the Gromov norm (or simplicial volume) of a compact oriented n-manifold is a norm on the homology (with real coefficients) given by minimizing the sum of the absolute values of the coefficients over all singular chains representing a cycle.".
- Gromov_norm label "Gromov norm".
- Gromov_norm sameAs m.02r3cb4.
- Gromov_norm sameAs Симплициальный_объём.
- Gromov_norm sameAs Q4419838.
- Gromov_norm sameAs Q4419838.
- Gromov_norm wasDerivedFrom Gromov_norm?oldid=606989151.
- Gromov_norm isPrimaryTopicOf Gromov_norm.