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- Systoles_of_surfaces abstract "In mathematics, systolic inequalities for curves on surfaces were first studied by Charles Loewner in 1949 (unpublished; see remark at end of P. M. Pu's paper in '52). Given a closed surface, its systole, denoted sys, is defined to the least length of a loop that cannot be contracted to a point on the surface. The systolic area of a metric is defined to be the ratio area/sys2. The systolic ratio SR is the reciprocal quantity sys2/area. See also Introduction to systolic geometry.".
- Systoles_of_surfaces thumbnail TorusSystoleLoop.png?width=300.
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- Systoles_of_surfaces wikiPageRevisionID "620487375".
- Systoles_of_surfaces wikiPageWikiLink (2,3,7)_triangle_group.
- Systoles_of_surfaces wikiPageWikiLink Alexander_Nabutovsky.
- Systoles_of_surfaces wikiPageWikiLink American_Mathematical_Society.
- Systoles_of_surfaces wikiPageWikiLink Category:Differential_geometry_of_surfaces.
- Systoles_of_surfaces wikiPageWikiLink Category:Systolic_geometry.
- Systoles_of_surfaces wikiPageWikiLink Charles_Loewner.
- Systoles_of_surfaces wikiPageWikiLink Differential_geometry_of_surfaces.
- Systoles_of_surfaces wikiPageWikiLink Fuchsian_group.
- Systoles_of_surfaces wikiPageWikiLink Hexagonal_lattice.
- Systoles_of_surfaces wikiPageWikiLink Hurwitz_quaternion_order.
- Systoles_of_surfaces wikiPageWikiLink Hurwitz_surface.
- Systoles_of_surfaces wikiPageWikiLink Introduction_to_systolic_geometry.
- Systoles_of_surfaces wikiPageWikiLink Inventiones_Mathematicae.
- Systoles_of_surfaces wikiPageWikiLink Journal_of_Differential_Geometry.
- Systoles_of_surfaces wikiPageWikiLink Katoks_entropy_inequality.
- Systoles_of_surfaces wikiPageWikiLink Klein_bottle.
- Systoles_of_surfaces wikiPageWikiLink Loewners_torus_inequality.
- Systoles_of_surfaces wikiPageWikiLink Mary_Schaps.
- Systoles_of_surfaces wikiPageWikiLink Mathematics.
- Systoles_of_surfaces wikiPageWikiLink Mathematische_Annalen.
- Systoles_of_surfaces wikiPageWikiLink Mikhail_Katz.
- Systoles_of_surfaces wikiPageWikiLink Mikhail_Leonidovich_Gromov.
- Systoles_of_surfaces wikiPageWikiLink Pacific_Journal_of_Mathematics.
- Systoles_of_surfaces wikiPageWikiLink Pao_Ming_Pu.
- Systoles_of_surfaces wikiPageWikiLink Peter_Sarnak.
- Systoles_of_surfaces wikiPageWikiLink Proceedings_of_the_American_Mathematical_Society.
- Systoles_of_surfaces wikiPageWikiLink Pus_inequality.
- Systoles_of_surfaces wikiPageWikiLink Surface.
- Systoles_of_surfaces wikiPageWikiLink Systolic_geometry.
- Systoles_of_surfaces wikiPageWikiLink Torus.
- Systoles_of_surfaces wikiPageWikiLink Uzi_Vishne.
- Systoles_of_surfaces wikiPageWikiLink File:Acme_klein_bottle.jpg.
- Systoles_of_surfaces wikiPageWikiLink File:TorusSystoleLoop.png.
- Systoles_of_surfaces wikiPageWikiLinkText "Bavard's Klein bottle systolic inequality".
- Systoles_of_surfaces wikiPageWikiLinkText "Systoles of surfaces".
- Systoles_of_surfaces wikiPageWikiLinkText "Systolic inequalities for curves on surfaces".
- Systoles_of_surfaces wikiPageWikiLinkText "systoles of surfaces".
- Systoles_of_surfaces wikiPageUsesTemplate Template:Cite_book.
- Systoles_of_surfaces wikiPageUsesTemplate Template:Cite_journal.
- Systoles_of_surfaces wikiPageUsesTemplate Template:Systolic_geometry_navbox.
- Systoles_of_surfaces subject Category:Differential_geometry_of_surfaces.
- Systoles_of_surfaces subject Category:Systolic_geometry.
- Systoles_of_surfaces type Surface.
- Systoles_of_surfaces comment "In mathematics, systolic inequalities for curves on surfaces were first studied by Charles Loewner in 1949 (unpublished; see remark at end of P. M. Pu's paper in '52). Given a closed surface, its systole, denoted sys, is defined to the least length of a loop that cannot be contracted to a point on the surface. The systolic area of a metric is defined to be the ratio area/sys2. The systolic ratio SR is the reciprocal quantity sys2/area. See also Introduction to systolic geometry.".
- Systoles_of_surfaces label "Systoles of surfaces".
- Systoles_of_surfaces sameAs Q7663892.
- Systoles_of_surfaces sameAs m.04jl4q8.
- Systoles_of_surfaces sameAs Q7663892.
- Systoles_of_surfaces sameAs 曲面的systole.
- Systoles_of_surfaces wasDerivedFrom Systoles_of_surfaces?oldid=620487375.
- Systoles_of_surfaces depiction TorusSystoleLoop.png.
- Systoles_of_surfaces isPrimaryTopicOf Systoles_of_surfaces.