论文标题

离散r-congrence的Ribaucour家族

The Ribaucour families of discrete R-congruences

论文作者

Rörig, Thilo, Szewieczek, Gudrun

论文摘要

虽然通用的平滑肋骨球体一致性完全承认了两个信封,但离散的R-CONGRESS产生了一个离散封闭表面的2参数家族。本文的主要目的是获得对这种歧义的几何见解。特别是,讨论了由离散的通道表面和离散的legendre地图包围的离散的R-CONCRONES与一个球形曲率系列。

While a generic smooth Ribaucour sphere congruence admits exactly two envelopes, a discrete R-congruence gives rise to a 2-parameter family of discrete enveloping surfaces. The main purpose of this paper is to gain geometric insights into this ambiguity. In particular, discrete R-congruences that are enveloped by discrete channel surfaces and discrete Legendre maps with one family of spherical curvature lines are discussed.

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