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http://dx.doi.org/10.4134/BKMS.2015.52.5.1569

HELICOIDAL SURFACES OF THE THIRD FUNDAMENTAL FORM IN MINKOWSKI 3-SPACE  

CHOI, MIEKYUNG (DEPARTMENT OF MATHEMATICS EDUCATION GYEONGSANG NATIONAL UNIVERSITY)
YOON, DAE WON (DEPARTMENT OF MATHEMATICS EDUCATION AND RINS GYEONGSANG NATIONAL UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.5, 2015 , pp. 1569-1578 More about this Journal
Abstract
We study helicoidal surfaces with the non-degenerate third fundamental form in Minkowski 3-space. In particular, we mainly focus on the study of helicoidal surfaces with light-like axis in Minkowski 3-space. As a result, we classify helicoidal surfaces satisfying an equation in terms of the position vector field and the Laplace operator with respect to the third fundamental form on the surface.
Keywords
helicoidal surfaces; light-like axis; third fundamental form; Minkowski space;
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Times Cited By KSCI : 2  (Citation Analysis)
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