Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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NON-DEVELOPABLE RULED SURFACES WITH TIMELIKE RULING IN MINKOWSKI 3-SPACE

  • YANG, YUN (DEPARTMENT OF MATHEMATICS NORTHEASTERN UNIVERSITY) ;
  • YU, YANHUA (DEPARTMENT OF MATHEMATICS NORTHEASTERN UNIVERSITY)
  • Received : 2014.09.12
  • Published : 2015.07.31
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Abstract

In this paper, using pseudo-spherical Frenet frame of pseudo-spherical curves in hyperbolic space, we define the notion of the structure functions on the non-developable ruled surfaces with timelike ruling. Then we obtain the properties of the structure functions and a complete classification of the non-developable ruled surfaces with timelike ruling in Minkowski 3-space by the theories of the structure functions.

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References

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