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http://dx.doi.org/10.4134/JKMS.j150757

ON POINTWISE 1-TYPE GAUSS MAP OF SURFACES IN 𝔼31 CONCERNING CHENG-YAU OPERATOR  

Kim, Young Ho (Department of Mathematics Kyungpook National University)
Turgay, Nurettin Cenk (Department of Mathematics Istanbul Technical University)
Publication Information
Journal of the Korean Mathematical Society / v.54, no.2, 2017 , pp. 381-397 More about this Journal
Abstract
In this paper, we study surfaces in 3-dimensional Minkowski space in terms of certain type of their Gauss map. We give several results on these surfaces whose Gauss map G satisfies ${\square}G=f(G+C)$ for a smooth function f and a constant vector C, where ${\square}$ denotes the ChengYau operator. In particular, we obtain classification theorems on the rotational surfaces in ${\mathbb{E}}^3_1$ with space-like axis of rotation in terms of type of their Gauss map concerning the Cheng-Yau operator.
Keywords
Gauss map; ${\square}$-pointwise 1-type; Cheng-Yau operator; Minkowski space;
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Times Cited By KSCI : 2  (Citation Analysis)
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