Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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SOME ISOTROPIC CURVES AND REPRESENTATION IN COMPLEX SPACE ℂ3

  • Qian, Jinhua (Department of Mathematics Northeastern University) ;
  • Kim, Young Ho (Department of Mathematics Kyungpook National University)
  • Received : 2014.06.12
  • Published : 2015.05.31
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Abstract

In this paper, we give a representation formula for an isotropic curve with pseudo arc length parameter and define the structure function of such curves. Using the representation formula and the Frenet formula, the isotropic Bertrand curve and k-type isotropic helices are characterized in the 3-dimensional complex space $\mathbb{C}^3$.

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References

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Cited by

  1. Contributions to differential geometry of isotropic curves in the complex space C3 – II vol.440, pp.2, 2016, https://doi.org/10.1016/j.jmaa.2016.02.072