[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7468/jksmeb.2013.20.3.149

ON THE GAUSS MAP OF GENERALIZED SLANT CYLINDRICAL SURFACES

Kim, Dong-Soo (Department of Mathematics, Chonnam National University)
Song, Booseon (Department of Mathematics, Chonnam National University)

Publication Information

The Pure and Applied Mathematics / v.20, no.3, 2013 , pp. 149-158 More about this Journal

Abstract

In this article, we study the Gauss map of generalized slant cylindrical surfaces (GSCS's) in the 3-dimensional Euclidean space $\mathbb{E}^3$ . Surfaces of revolution, cylindrical surfaces and tubes along a plane curve are special cases of GSCS's. Our main results state that the only GSCS's with Gauss map G satisfying ${\Delta}G=AG$ for some $3{\times}3$ matrix A are the planes, the spheres and the circular cylinders.

Keywords

Gauss map; Laplace operator; surface of rotation; cylindrical surface; slant cylindrical surface; generalized slant cylindrical surface;

Citations & Related Records

Times Cited By KSCI : 4 (Citation Analysis)

Reference
Cited By KSCI

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