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Ruled surfaces of non-degenerate third fundamental forms in Minkowski 3-spaces
Authors:Chul Woo Lee
Institution:a Department of Mathematics, Dongguk University, Kyongju 780-714, South Korea
b Department of Mathematics, Teachers’ College, Kyungpook National University, Daegu 702-701, South Korea
c Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 660-701, South Korea
Abstract:In this paper, we study ruled surfaces in a Minkowski 3-space satisfying some equation in terms of a position vector field and Laplacian operator with respect to non-degenerate third fundamental form. Furthermore, we give a new example of null scroll in a Minkowski 3-space.
Keywords:Minkowski space  Laplacian operator  Third fundamental form  Ruled surface  Minimal surface
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