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Natural Frenet Equations of Null Curves

진대호
한국수학교육학회|2005.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제12권 제3호|pp. 211-221

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Abstract

The purpose of this paper is to study the geometry of null curves in a Lorentzian manifold (M, g). We show that it is possible to construct new type of Frenet equations of null curves in M, supported by two examples.

참고문헌 (11)

  1. "Lightlike curves in Lorentz manifolds 53090NATURAL FRENET EQUATIONS OF NUL CURVES 21", pp.1~2
  2. "Nul curves in a Minkowski space-time", bo(r) (1969)
  3. "Lightlike Submanifolds of Semi-Riemanian Manifolds andAplications", Publishers
  4. "Geometry of nul curves", Toyama Univ
  5. "Codimension one isometric imersions between Lorentz spaces" (1979)
  6. Math, "On curves and submanifolds in an indenite Riemanian manifold" (1985)
  7. Math, "Biharmonic urves in Minkowski 3-space", i(guchi)
  8. "Nul curves in Minkowski 3-space", i(guchi & s) (2005)
  9. "Frenet Equations of Null Curves", 10(2), pp.71?~102 (2003)
  10. "With Applications to Relativity" (1983), Academic Press Inc
  11. "A Comprehensive Introduction to Differential Geometry" (1975), Publishor Perish

관련 논문AI추천

FRENET EQUATIONS OF NULL CURVES진대호한국수학교육학회 · 이론수학과 교직수학2003 · 제10권 제2호Null Curves in a Semi-Riemannian Manifold of Index 2진대호한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제4호Null Bertrand Curves in a Lorentz Manifold진대호한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호Directional associated curves of a null curve in Minkowski 3-space김영호, Jinhua Qian대한수학회 · 대한수학회보2015 · 제52권 제1호A study on rectifying curves in the dual Lorentzian spaceEmine Özbey, Mehmet Oral대한수학회 · 대한수학회보2009 · 제46권 제5호Spherical Indicatrix of a New Approach to Bertrand Curves in Euclidean 3-spaceRam Shankar Gupta, Stuti Tamta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제2호

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