Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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SHAPE OPERATOR AND GAUSS MAP OF POINTWISE 1-TYPE

  • KIM, DONG-SOO (DEPARTMENT OF MATHEMATICS CHONNAM NATIONAL UNIVERSITY) ;
  • KIM, YOUNG HO (DEPARTMENT OF MATHEMATICS KYUNGPOOK NATIONAL UNIVERSITY)
  • Received : 2015.02.10
  • Published : 2015.11.01
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Abstract

We examine the relationship of the shape operator of a surface of Euclidean 3-space with its Gauss map of pointwise 1-type. Surfaces with constant mean curvature and right circular cones with respect to some properties of the shape operator are characterized when their Gauss map is of pointwise 1-type.

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References

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