Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2014.08.29
  • Published : 2015.09.30
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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

Acknowledgement

Supported by : National Research Foundation of Korea(NRF)

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