Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON NULL SCROLLS SATISFYING THE CONDITION ${\triangle}$H = AH

  • Pak, Jin-Suk (Department of Mathematics Teachers College) ;
  • Yoon, Dae-Won (Department of Mathematics Teachers College Kyungpook National University)
  • Published : 2000.09.01
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Abstract

In the present paper, we study a non-degenrate ruled surface along a null curve in a 3-dimensional Minkowski space E31, which is called a null scroll, an investigate some characterizations of null scrolls satisfying the condition H=AH, A Mat(3, ), where denotes the Laplacian of the surface with respect to the induced metric, H the mean curvature vector and Mat(3, ) the set of 3$\times$3-real matrices.

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References

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