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Constant ratio curves in the isotropic plane and their deflection properties

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We define the constant ratio curves in the isotropic plane and investigate their deflection properties.

Abstract

We define the constant ratio curves in the isotropic plane and investigate their deflection properties.

참고문헌 (10)

  1. G. S. Birman, "Trigonometry in Lorentzian Geometry", The Amer. Math. Monthly., 91(9), pp.543~549 (1984)
  2. Kyung Mi Lee, "Elementary Geometry of Circles and Triangles in the Lorentzian Plane", Master, pp.2011
  3. M. Pember, "Weierstrass-type representations", Geom. Dedic., 204(1), pp.299~309 (2020)
  4. H. Pottmann, "Mathematics of Surfaces 2007", pp.341~363 (2007), LNCS
  5. Jin Ju Seo, "On the quadratic curves in the Lorentz plane", Master, pp.2011
  6. Jin Ju Seo, "On the geometry of curves and surfaces in the isotropic three-space", Ph.D., pp.2020
  7. 서진주, "Zero mean curvature surfaces in isotropic three-space", 대한수학회보, 58(1), pp.1~20 (2021), 대한수학회[DOI]
  8. I. M. Yaglom, "A Simple Non-Euclidean Geometry and Its Physical Basis" (1979), Springer Verlag
  9. Seong-Deog Yang, "Lecture Notes on Differential Geometry 1", pp.2019
  10. Seong-Deog Yang, "Lecture Notes on Elementary Lorentzian Geometry", pp.2014

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