We give an example which shows that the Burago’s bounded distance theorem does not hold in a non-intrinsic metric case. The argument is based on the classical answer to the densest circle packing problem in ?2.
基金This work was partially supported by the Natural Science Foundation of Hunan Province(Grant No.06555009)Scientific Research Fund of Hunan Provincial Education Department(Grant No.00C194)
文摘We give an example which shows that the Burago’s bounded distance theorem does not hold in a non-intrinsic metric case. The argument is based on the classical answer to the densest circle packing problem in ?2.
