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- Filling_area_conjecture abstract "In mathematics, in Riemannian geometry, Mikhail Gromov's filling area conjecture asserts that among all possible fillings of the Riemannian circle of length 2π by a surface with the strongly isometric property, the round hemisphere has the least area. Here the Riemannian circle refers to the unique closed 1-dimensional Riemannian manifold of total 1-volume 2π and Riemannian diameter π.".
- Filling_area_conjecture thumbnail Steiners_Roman_Surface.gif?width=300.
- Filling_area_conjecture wikiPageID "12083818".
- Filling_area_conjecture wikiPageLength "3487".
- Filling_area_conjecture wikiPageOutDegree "20".
- Filling_area_conjecture wikiPageRevisionID "642665593".
- Filling_area_conjecture wikiPageWikiLink American_Mathematical_Society.
- Filling_area_conjecture wikiPageWikiLink Category:Area.
- Filling_area_conjecture wikiPageWikiLink Category:Conjectures.
- Filling_area_conjecture wikiPageWikiLink Category:Differential_geometry.
- Filling_area_conjecture wikiPageWikiLink Category:Differential_geometry_of_surfaces.
- Filling_area_conjecture wikiPageWikiLink Category:Riemannian_geometry.
- Filling_area_conjecture wikiPageWikiLink Category:Surfaces.
- Filling_area_conjecture wikiPageWikiLink Category:Systolic_geometry.
- Filling_area_conjecture wikiPageWikiLink Filling_radius.
- Filling_area_conjecture wikiPageWikiLink Genus_(mathematics).
- Filling_area_conjecture wikiPageWikiLink Mikhail_Katz.
- Filling_area_conjecture wikiPageWikiLink Mikhail_Leonidovich_Gromov.
- Filling_area_conjecture wikiPageWikiLink Pus_inequality.
- Filling_area_conjecture wikiPageWikiLink Riemannian_circle.
- Filling_area_conjecture wikiPageWikiLink Riemannian_geometry.
- Filling_area_conjecture wikiPageWikiLink Systolic_geometry.
- Filling_area_conjecture wikiPageWikiLink Victor_Bangert.
- Filling_area_conjecture wikiPageWikiLink File:Steiners_Roman_Surface.gif.
- Filling_area_conjecture wikiPageWikiLinkText "Filling area conjecture".
- Filling_area_conjecture wikiPageWikiLinkText "conjectured".
- Filling_area_conjecture wikiPageWikiLinkText "filling area conjecture".
- Filling_area_conjecture wikiPageWikiLinkText "filling area".
- Filling_area_conjecture authors "Gromov, M.".
- Filling_area_conjecture journal "J. Diff. Geom.".
- Filling_area_conjecture pages "1".
- Filling_area_conjecture title "Filling Riemannian manifolds".
- Filling_area_conjecture volume "18".
- Filling_area_conjecture wikiPageUsesTemplate Template:Arxiv.
- Filling_area_conjecture wikiPageUsesTemplate Template:Citation.
- Filling_area_conjecture wikiPageUsesTemplate Template:Inline.
- Filling_area_conjecture wikiPageUsesTemplate Template:Math-citation.
- Filling_area_conjecture wikiPageUsesTemplate Template:Pi.
- Filling_area_conjecture wikiPageUsesTemplate Template:Systolic_geometry_navbox.
- Filling_area_conjecture year "1983".
- Filling_area_conjecture subject Category:Area.
- Filling_area_conjecture subject Category:Conjectures.
- Filling_area_conjecture subject Category:Differential_geometry.
- Filling_area_conjecture subject Category:Differential_geometry_of_surfaces.
- Filling_area_conjecture subject Category:Riemannian_geometry.
- Filling_area_conjecture subject Category:Surfaces.
- Filling_area_conjecture subject Category:Systolic_geometry.
- Filling_area_conjecture type Conjecture.
- Filling_area_conjecture type Physic.
- Filling_area_conjecture type Quantity.
- Filling_area_conjecture type Statement.
- Filling_area_conjecture type Surface.
- Filling_area_conjecture type Statement.
- Filling_area_conjecture comment "In mathematics, in Riemannian geometry, Mikhail Gromov's filling area conjecture asserts that among all possible fillings of the Riemannian circle of length 2π by a surface with the strongly isometric property, the round hemisphere has the least area. Here the Riemannian circle refers to the unique closed 1-dimensional Riemannian manifold of total 1-volume 2π and Riemannian diameter π.".
- Filling_area_conjecture label "Filling area conjecture".
- Filling_area_conjecture sameAs Q5448828.
- Filling_area_conjecture sameAs m.02vp94x.
- Filling_area_conjecture sameAs Q5448828.
- Filling_area_conjecture wasDerivedFrom Filling_area_conjecture?oldid=642665593.
- Filling_area_conjecture depiction Steiners_Roman_Surface.gif.
- Filling_area_conjecture isPrimaryTopicOf Filling_area_conjecture.