Circular surfaces-Reference-Cited by-同舟云学术

Circular surfaces

Published:2007-04-19 Issue:2 Volume:7 Page:295-313
ISSN:1615-7168
Container-title:advg
language:en
Short-container-title:

Author:

Izumiya Shyuichi¹,Saji Kentaro¹,Takeuchi Nobuko²

Affiliation:

1. Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan.

2. Department of Mathematics, Tokyo Gakugei University, Koganei, Tokyo 184-8501, Japan.

Abstract

Abstract A circular surface is a one-parameter family of standard circles in ℝ3. In this paper some correspondences between the properties of circular surfaces and those of classical ruled surfaces are investigated. Singularities of circular surfaces are also studied.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/ADVGEOM.2007.017/pdf

Reference22 articles.

1. The form of the tangent-developable at points of zero torsion on space curves

2. Determinacy of the Envelope of the Osculating Hyperplanes to a Curve

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