On Some Special Surfaces Connected with Convex Surfaces of the Lobachevskii Space

被引:0
作者
V. K. Ionin
机构
[1] Sobolev Institute of Mathematics,
来源
Siberian Mathematical Journal | 2002年 / 43卷
关键词
convex surface; sphere; equidistant surface;
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摘要
With a closed convex surface Φ in a Lobachevskii space we associate four special surfaces: the inscribed and circumscribed spheres, a sphere rolling freely over the inner side of Φ, and an equidistant surface over whose inner side Φ rolls freely. We find an exact dependence between these four special surfaces.
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页码:822 / 826
页数:4
相关论文
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  • [1] Ionin V. K.(2001)On some special surfaces that are connected with convex surfaces in spaces of constant curvature Dokl. Akad. Nauk 379 22-23
  • [2] Ionin V. K.(2001)Inequalities between the radii of some spheres that are connected with a convex surface in space of constant curvature Sibirsk. Mat. Zh. 42 561-566