Dual spheres have the same girth
classification
🧮 math.MG
math.SG
keywords
girthdualaffercentrallyclosedconjecturecurvesfinsler
read the original abstract
Symplectic and Finsler geometry are used to settle a conjecture of Sch\"affer stating that the girth of a normed space--the infimum of the lengths of all closed, rectifiable, centrally symmetric curves on its unit sphere--equals the girth of its dual.
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