Have a personal or library account? Click to login
Ruled surfaces obtained by curves in the lightlike cone Cover

Ruled surfaces obtained by curves in the lightlike cone

By: Ali Uçum  
Open Access
|Mar 2022

References

  1. [1] L. J. Alías, A. Ferrández, P. Lucas, M. A. Meroño, On the Gauss map of B-scrolls, Tsukuba J. Math., vol. 22, no. 2, 1998, 371-377.10.21099/tkbjm/1496163588
  2. [2] WB. Bonnor, Null curves in a Minkowski space-time, Tensor, vol. 20, 1969, 229-242.
  3. [3] B.-Y. Chen, Geometry of Submanifolds, Dekker, New York, 1973.
  4. [4] A. Ferrández, P. Lucas, On the Gauss map of B-scrolls in 3-dimensional Lorentzian space forms, Czechoslovak Math. J., vol. 50, no. 4, 2000, 699-704.10.1023/A:1022404426487
  5. [5] L. K. Graves, Codimension one isometric immersions between Lorentz spaces, Trans. Amer. Math. Soc., vol. 252, 1979, 367-392.10.1090/S0002-9947-1979-0534127-4
  6. [6] W. Kuhnel, Differential geometry: curves-surfaces-manifolds, Braunschweig, Wiesbaden, 1999.
  7. [7] H. Liu, Curves in the lightlike cone, Contributions to Algebra and Geometry, vol. 45, no. 1, 2004, 291-303.
  8. [8] B. O’Neill, Semi-Riemannian geometry with applications to relativity, New York, USA, Academic Press, 1983.
  9. [9] M. Sakaki, A. Uçum, K. İlarslan, Ruled surfaces with bi-null curves in ℝ52, Rend. Circ. Mat. Palermo, II. Ser, vol. 66, 2017, 485-493.
DOI: https://doi.org/10.2478/gm-2021-0005 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023
Language: English
Page range: 55 - 61
Submitted on: Nov 8, 2020
Accepted on: May 9, 2021
Published on: Mar 30, 2022
Published by: Lucian Blaga University of Sibiu
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2022 Ali Uçum, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.