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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abstract "In mathematics, systolic inequalities for curves on surfaces were first studied by Charles Loewner in 1949 (unpublished; see remark at end of P. M. Pu's paper in '52).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.
- Systoles_of_surfaces wikiPageID "19060246".
- Systoles_of_surfaces wikiPageRevisionID "571827610".
- Systoles_of_surfaces hasPhotoCollection Systoles_of_surfaces.
- Systoles_of_surfaces subject Category:Differential_geometry_of_surfaces.
- Systoles_of_surfaces subject Category:Systolic_geometry.
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- Systoles_of_surfaces type Surface104362025.
- Systoles_of_surfaces type Surfaces.
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- 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comment "In mathematics, systolic inequalities for curves on surfaces were first studied by Charles Loewner in 1949 (unpublished; see remark at end of P. M. Pu's paper in '52).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".
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- Systoles_of_surfaces sameAs Q7663892.
- Systoles_of_surfaces sameAs Systoles_of_surfaces.
- Systoles_of_surfaces wasDerivedFrom Systoles_of_surfaces?oldid=571827610.
- Systoles_of_surfaces depiction TorusSystoleLoop.png.
- Systoles_of_surfaces isPrimaryTopicOf Systoles_of_surfaces.
