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http://dx.doi.org/10.7468/jksmeb.2012.19.1.1

SURFACES OF REVOLUTION WITH MORE THAN ONE AXIS

Kim, Dong-Soo (Department of Mathematics, Chonnam National University)
Kim, Young-Ho (Department of Mathematics, College of Natural Sciences, Kyungpook National University)

Publication Information

The Pure and Applied Mathematics / v.19, no.1, 2012 , pp. 1-5 More about this Journal

Abstract

We study surfaces of revolution in the three dimensional Euclidean space $\mathbb{R}^3$ with two distinct axes of revolution. As a result, we prove that if a connected surface in the three dimensional Euclidean space $\mathbb{R}^3$ admits two distinct axes of revolution, then it is either a sphere or a plane.

Keywords

surface of revolution; axis; normal section; geodesic; sphere;

Citations & Related Records

Reference

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