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http://dx.doi.org/10.4134/CKMS.c160188

ON THE GAUSS MAP OF HELICOIDAL SURFACES  

Kim, Dong-Soo (Department of Mathematics Chonnam National University)
Kim, Wonyong (Department of Mathematics Chonnam National University)
Kim, Young Ho (Department of Mathematics Kyungpook National University)
Publication Information
Communications of the Korean Mathematical Society / v.32, no.3, 2017 , pp. 715-724 More about this Journal
Abstract
We study the Gauss map G of helicoidal surfaces in the 3-dimensional Euclidean space ${\mathbb{E}}^3$ with respect to the so called Cheng-Yau operator ${\square}$ acting on the functions defined on the surfaces. As a result, we completely classify the helicoidal surfaces with Gauss map G satisfying ${\square}G=AG$ for some $3{\times}3$ matrix A.
Keywords
Gauss map; helicoidal surfaces; Laplace operator; Cheng-Yau operator;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
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