Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Classification of Ruled Surfaces with Non-degenerate Second Fundamental Forms in Lorentz-Minkowski 3-Spaces

  • Jung, Sunmi (Department of Mathematics, Kyungpook National University) ;
  • Kim, Young Ho (Department of Mathematics, Kyungpook National University) ;
  • Yoon, Dae Won (Department of Mathematics, College of Education and RINS, Gyeongsang National University)
  • Received : 2007.08.28
  • Published : 2007.12.23
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Abstract

In this paper, we study some properties of ruled surfaces in a three-dimensional Lorentz-Minkowski space related to their Gaussian curvature, the second Gaussian curvature and the mean curvature. Furthermore, we examine the ruled surfaces in a three-dimensional Lorentz-Minkowski space satisfying the Jacobi condition formed with those curvatures, which are called the II-W and the II-G ruled surfaces and give a classification of such ruled surfaces in a three-dimensional Lorentz-Minkowski space.

Keywords

References

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