본문 바로가기
KERD
논문KCI 등재

NOTE ON NULL HELICES IN E31

김영호|최진호
대한수학회 (The Korean Mathematical Society)|2013.05|대한수학회보 (Bulletin of the KMS)|제50권 제3호|pp. 885-899

2

조회

0

다운로드

2

인용

0

참고문헌

키워드

Minkowski 3-spacenull general helixnull slant helixCartan slant helixassociated curve
주제분류수학

초록

In this paper, we study null helices, null slant helices and Cartan slant helices in E31 . Using some associated curves, we characterize the null helices and the Cartan slant helices and construct them. Also, we study a space-like curve with the principal normal vector eld which is a degenerate plane curve.

Abstract

In this paper, we study null helices, null slant helices and Cartan slant helices in E31 . Using some associated curves, we characterize the null helices and the Cartan slant helices and construct them. Also, we study a space-like curve with the principal normal vector eld which is a degenerate plane curve.

참고문헌 (22)

  1. A. T. Ali, "Position vectors of spacelike general helices in Minkowski 3-space", Nonlinear Anal, 73(4), pp.1118~1126 (2010)
  2. A. T. Ali, "Timelike B2-slant helices in Minkowski E41", Arch. Math, 46(1), pp.39~46 (2010)
  3. Ahmad T. Ali, "SLANT HELICES IN MINKOWSKI SPACE <수식>", 대한수학회지, 48(1), pp.159~167 (2011), 대한수학회
  4. A. T. Ali, "Position vector of a time-like slant helix in Minkowski 3-space", J. Math. Anal. Appl, 365(2), pp.559~569 (2010)
  5. A. T. Ali, "Determination of time-like general helices in Minkowski 3-space", Preprint, ~ (2009)
  6. A. Bejancu, "Lightlike curves in Lorentz manifolds", Publ. Math. Debrecen, 44(1), pp.145~155 (1994)
  7. J. H. Choi, "Associated curves of a Frenet curve and their applications", Appl. Math. Comput, 218, pp.9116~9124 (2012)
  8. J. H. Choi, "Some associated curves of a Frenet non-lightlike curve in E31", J. Math. Anal. Appl, 394, pp.1285~1296 (2012)
  9. K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer
  10. K. L. Duggal, "Null Curves and Hypersurfaces of Semi-Riemannian Manifolds" (2007), World Scientific
  11. A. Ferrandez, "Null helices in Lorentzian space forms", Internat. J. Modern Phys. A, 16(30), pp.4845~4863 (2001)
  12. A. Ferrandez, "Null generalized helices in Lorentzian-Minkowski spaces", J. Phys. A: Math. Gen, 35, pp.8243~8251 (2002)
  13. L. P. Hughston, "Real classical string", Proc. Roy. Soc. London Ser. A, 414(1847), pp.415~422 (1987)
  14. L. P. Hughston, "Classical strings in ten dimensions", Proc. Roy. Soc. London Ser. A, 414(1847), pp.423~431 (1987)
  15. L. P. Hughston, "Constraint-free analysis of relativistic strings", Classical Quantum Gravity, 5(3), pp.69~72 (1988)
  16. L. P. Hughston, "Constraint-free analysis of relativistic strings", Class. Quant. Grav, 5, pp.69~72 (1988)
  17. L. P. Hughston, "Twistors and strings", Amer. Math. Soc. RI, pp.337~363 (1988)
  18. L. P. Hughston, "Spinor parametrizations of minimal surfaces, The mathematics of surfaces, III", Inst. Math. Appl. Conf. Ser. New Ser, pp.359~372 (1989)
  19. J. I. Inoguchi, "Null curves in Minkowski 3-space", Int. Electron. J. Geom, 1(2), pp.40~83 (2008)
  20. H. B. Karadag, "Null generalized slant helices in Lerontzian space", J. Phys. A: Math. Gen, 35, pp.8243~8251 (2002)
  21. L. Kula, "On slant helix and its spherical indicatrix", Appl. Math. Comp, 169(1), pp.600~607 (2005)
  22. B. O'Neill, "Semi-Riemannian Geometry with Application to Relativity" (1983), Academic Press

이 간행물의 다른 논문 (29건)

A classification of half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection이재원, 진대호pp. 705-717A note on LPI domainsKui Hu, Hanlin Chen, Fanggui Wangpp. 719-725Entropy and periodic orbits for generic diffeomorphismsRuixin Chenpp. 727-730Sets and value sharing of q-differences of meromorphic functionsXiao-Guang Qi, Lian-Zhong Yangpp. 731-745On discreteness of Mobius groupsXi Fupp. 747-752
원문 보기