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http://dx.doi.org/10.4134/BKMS.2013.50.4.1345

CLASSIFICATIONS OF HELICOIDAL SURFACES WITH L1-POINTWISE 1-TYPE GAUSS MAP  

Kim, Young Ho (Department of Mathematics Kyungpook National University)
Turgay, Nurettin Cenk (Department of Mathematics Istanbul Technical University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.4, 2013 , pp. 1345-1356 More about this Journal
Abstract
In this paper, we study rotational and helicoidal surfaces in Euclidean 3-space in terms of their Gauss map. We obtain a complete classification of these type of surfaces whose Gauss maps G satisfy $L_1G=f(G+C)$ for some constant vector $C{\in}\mathbb{E}^3$ and smooth function $f$, where $L_1$ denotes the Cheng-Yau operator.
Keywords
Gauss map; $L_1$-pointwise 1-type; Cheng-Yau operator; rotational surface; helicoidal surface; Lie point symmetry;
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Times Cited By KSCI : 7  (Citation Analysis)
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