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On rectifying-type curves in a Myller configuration

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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.

Abstract

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.

참고문헌 (6)

  1. B.-Y. Chen, "When does the position vector of a space curve always lie in its rectifying plane?", Amer. Math. Monthly, 110(2), pp.147~152 (2003)
  2. B.-Y. Chen, "Differential geometry of rectifying submanifolds", Int. Electron. J. Geom, 9(2), pp.1~8 (2016)
  3. B.-Y. Chen, "Rectifying curves and geodesics on a cone in the Euclidean 3-space", Tamkang J. Math, 48(2), pp.209~214 (2017)
  4. B.-Y. Chen, "Rectifying curves as centrodes and extremal curves", Bull. Inst. Math. Acad. Sinica, 33(2), pp.77~90 (2005)
  5. S. Deshmukh, "On rectifying curves in Euclidean 3-space", Turkish J. Math, 42(2), pp.609~620 (2018)
  6. R. Miron, "The Geometry of Myller Configurations. Applications to Theory of Surfaces and Nonholonomic Manifolds" (2010), Romanian Academy

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