On some special surfaces connected with convex surfaces of the Lobachevskii space

被引:0
作者
Ionin, VK
机构
[1] Sobolev Institute of Mathematics, Novosibirsk
基金
俄罗斯基础研究基金会;
关键词
convex surface; sphere; equidistant surface;
D O I
10.1023/A:1020146521740
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
With a closed convex surface phi in a Lobachevskii space we associate four special surfaces: the inscribed and circumscribed spheres, a sphere rolling freely over the inner side of phi, and an equidistant surface over whose inner side phi rolls freely. We find an exact dependence between these four special surfaces.
引用
收藏
页码:822 / 826
页数:5
相关论文
共 4 条
  • [1] BLASCHKE W, 1967, KREIS KUGEL
  • [2] EFIMOV NV, 1971, HIGHER GEOMETRY
  • [3] IONIN VK, 2001, DOKL AKAD NAUK, V379, P22
  • [4] IONIN VK, 2001, SIB MAT ZH, V42, P561