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Null Bertrand Curves in a Lorentz Manifold

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초록

The purpose of this paper is to study the geometry of null Bertrand curves in a Lorentz manifold.

Abstract

The purpose of this paper is to study the geometry of null Bertrand curves in a Lorentz manifold.

참고문헌 (16)

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  3. Coken, A.C, "On the Cartan curvatures of a null curve in Minkowski spacetime", Geom. Dedicata, 114, pp.71~78 (2005)
  4. Duggal, K.L, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
  5. Duggal, K.L, "Null curves and hypersurfaces of semi-Riemannian manifolds" (2007), World Scientific
  6. Eisenhart, L.P., "A Treatise on Differential Geometry of Curves and Surfaces" (1909), Ginn and Company
  7. Ferrandez, A., "Null generalized helices in Lorentz-Minkowski spaces", J. Phys. A: Math. Gen, 35, pp.8243~8251 (2002)
  8. Hayden, H.A, "Deformations of a curve in a Riemannian n-space which displace vectors parallelly at each point", Proc. Lond. Math. Soc, 32, pp.321~336 (1931)
  9. "On a generalized helix in a Riemannian n-space", Proc. Lond. Math. Soc, 32, pp.337~345 (1931)
  10. Honda, K, "Deformation of Cartan framed null curves preserving the torsion", Differ. Geom. Dyn. Syst, 5, pp.31~37 (2003)
  11. Ikawa, T, "On curves and submanifolds in an indefinite Riemannian manifold", Tsukuba J. Math, 9, pp.353~371 (1965)
  12. Inoguchi, J., "Biharmonic curves in Minkowski 3-space", Int. J. Math. Math. Sci, 21(11), pp.1365~1368 (2003)
  13. Inoguchi, J, "Null curves in Minkowski 3-space", ~ (2005)
  14. Jin, D.H, "Null curves in Lorentz manifolds", J. Dongguk Univ, 18, pp.203~212 (1999)
  15. 진대호, "Natural Frenet Equations of Null Curves", 순수 및 응용수학, 12(3), pp.211~221 (2005), 한국수학교육학회
  16. Struik, D.J, "Lectures on Classical Differential Geometry" (1932)

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