Dual spheres have the same girth
度量几何
2011-09-21 v1 辛几何
摘要
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.
引用
@article{arxiv.math/0408414,
title = {Dual spheres have the same girth},
author = {Juan Carlos Alvarez Paiva},
journal= {arXiv preprint arXiv:math/0408414},
year = {2011}
}
备注
10 pages