Dual spheres have the same girth

Details Dual spheres have the same girth Dual spheres have the same girth

2004-08-30

arxiv.org/abs/math/0408414v1

Amer. J. Math. 128 (2006), no. 2, 361-371

Mathematics

Metric Geometry

10 pages

Scientific paper

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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