Systoles of surfaces
id:
systoles-of-surfaces-305-10396759
title:
Systoles of surfaces
text:
In mathematics, systolic inequalities for curves on surfaces were first studied by Charles Loewner in 1949. Given a closed surface, its systole, denoted sys, is defined to be 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.
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https://en.wikipedia.org/wiki/Systoles_of_surfaces
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date modified:
2024-01-30T09:17:49Z
main entity:
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13
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