Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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A NEW TYPE OF TUBULAR SURFACE HAVING POINTWISE 1-TYPE GAUSS MAP IN EUCLIDEAN 4-SPACE 𝔼4

  • Kisi, Ilim (Department of Mathematics Kocaeli University) ;
  • Ozturk, Gunay (Department of Mathematics Arts and Science Faculty Izmir Democracy University)
  • Received : 2017.08.09
  • Accepted : 2017.12.15
  • Published : 2018.07.01
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Abstract

In this paper, we handle the Gauss map of a tubular surface which is constructed according to the parallel transport frame of its spine curve. We show that there is no tubular surface having harmonic Gauss map. Moreover, we give a complete classification of this kind of tubular surface having pointwise 1-type Gauss map in Euclidean 4-space ${\mathbb{E}}^4$.

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References

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