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Dual spheres have the same girth
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 128, Number 2, April 2006
- pp. 361-371
- 10.1353/ajm.2006.0015
- Article
- Additional Information
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Symplectic and Finsler geometry are used to settle a conjecture of Schäffer 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.