대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제33권2호
  • /
  • Pages.581-590
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  • 2018
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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TUBES OF FINITE CHEN-TYPE

  • Al-Zoubi, Hassan (Department of Mathematics Al-Zaytoonah University of Jordan) ;
  • Jaber, Khalid M. (Department of Computer Science Al-Zaytoonah University of Jordan) ;
  • Stamatakis, Stylianos (Department of Mathematics Aristotle University of Thessaloniki)
  • 투고 : 2017.05.26
  • 심사 : 2017.07.26
  • 발행 : 2018.04.30
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초록

In this paper, we consider surfaces in the 3-dimensional Euclidean space $\mathbb{E}^3$ which are of finite III-type, that is, they are of finite type, in the sense of B.-Y. Chen, corresponding to the third fundamental form. We present an important family of surfaces, namely, tubes in $\mathbb{E}^3$. We show that tubes are of infinite III-type.

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참고문헌

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