Makoto SAKAKI

6170

Notes on null curves in Minkowski spaces

We show a correspondence between the evolute of a null curve and the involute of a certain spacelike curve in the 4-dimensional Minkowski space. Also we characterize pseudo-spherical null curves in the n-dimensional Minkowski space in terms of the curvature functions.
Anahtar Kelimeler:

Null curve, Minkowski space, Frenet frame, Cartan curvature.

Notes on null curves in Minkowski spaces

We show a correspondence between the evolute of a null curve and the involute of a certain spacelike curve in the 4-dimensional Minkowski space. Also we characterize pseudo-spherical null curves in the n-dimensional Minkowski space in terms of the curvature functions.
Keywords:

Null curve, Minkowski space, Frenet frame, Cartan curvature.,

PDF

___

  • Duggal, K. L. and Bejancu, A.: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Duggal, K. L. and Jin, D. H.: Null Curves and Hypersurfaces of Semi-Riemannian Manifolds, World Sci. 2007.
  • Ferrandez, A., Gimenez, A. and Lucas, P.: Null helices in Lorentzian space forms, Int. J. Mod. Phys. A., 16, 4863 (2001).
  • O’Neill, B.: Semi-Riemannian Geometry with Applications to Relativity, Academic Press 1983.
  • Oprea, J.: Differential Geometry and its Applications, M.A.A. 2007. Makoto SAKAKI
  • Graduate School of Science and Technology, Hirosaki University, Hirosaki 036-8561, JAPAN e-mail: sakaki@cc.hirosaki-u.ac.jp
Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
Sayıdaki Diğer Makaleler

When $delta$-semiperfect rings are semiperfect

Engin BÜYÜKAŞIK, Christian LOMP

Injective simplicial maps of the arc complex

John D. McCARTHY, Elmas IRMAK

On the codifferential of the Kähler form and cosymplectic metrics on maximal flag manifolds

Marlio PAREDES, PINZQN Sofia

The linear functionals on fundamental locally multiplicative topological algebras

E. Ansari PIRI

On the Qualitative Analysis of the Uniqueness of the Movement of Endothelial Cells

Erdem ALTUNTAÇ, Serdal PAMUK

When d-semiperfect rings are semiperfect

When d-semiperfect rings are Semiperfect

An expansion result for a Sturm-Liouville eigenvalue problem with impulse

Gusein Sh. GUSEINOV, Serife FAYDAOĞLU

Some properties of C-fusion frames

Mohammad Hasan FAROUGHI, Reza AHMADI

Some sufficient conditions for starlikeness and convexity

Mamoru NUNOKAWA, Shigeyoshi OWA, Yaşar POLATOĞLU, Emel Yavuz DUMAN, Mert ÇAĞLAR

Notes on null curves in Minkowski spaces

Makoto SAKAKI