대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제56권2호
  • /
  • Pages.383-390
  • /
  • 2019
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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ON RECTIFYING-TYPE CURVES IN A MYLLER CONFIGURATION

  • Macsim, Gabriel (Doctoral School of Mathematics Faculty of Mathematics and Computer Science University of Bucharest) ;
  • Mihai, Adela (Department of Mathematics and Computer Science Technical University of Civil Engineering) ;
  • Olteanu, Andreea (Department of Mathematics, Physics and Terrestrial Measurements Faculty of Land Reclamation and Environmental Engineering University of Agronomic Sciences and Veterinary Medicine of Bucharest)
  • 투고 : 2018.03.27
  • 심사 : 2018.08.22
  • 발행 : 2019.03.31
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초록

We consider special curves (rectifying-type curves) in the simplest Myller configuration and study their properties, in order to compare these properties in both cases, Myller and Euclidean settings.

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참고문헌

  1. B.-Y. Chen, When does the position vector of a space curve always lie in its rectifying plane?, Amer. Math. Monthly 110 (2003), no. 2, 147-152. https://doi.org/10.1080/00029890.2003.11919949
  2. B.-Y. Chen, Differential geometry of rectifying submanifolds, Int. Electron. J. Geom. 9 (2016), no. 2, 1-8. https://doi.org/10.36890/iejg.584566
  3. B.-Y. Chen, Rectifying curves and geodesics on a cone in the Euclidean 3-space, Tamkang J. Math. 48 (2017), no. 2, 209-214. https://doi.org/10.5556/j.tkjm.48.2017.2382
  4. B.-Y. Chen and F. Dillen, Rectifying curves as centrodes and extremal curves, Bull. Inst. Math. Acad. Sinica 33 (2005), no. 2, 77-90.
  5. S. Deshmukh, B.-Y. Chen, and S. H. Alshammari, On rectifying curves in Euclidean 3-space, Turkish J. Math. 42 (2018), no. 2, 609-620.
  6. R. Miron, The Geometry of Myller Configurations. Applications to Theory of Surfaces and Nonholonomic Manifolds, Romanian Academy, 2010.