Research Article

DEVELOPABLE BERTRAND OFFSETS OF TRAJECTORY SPACELIKE RULED SURFACES

Volume: 4 Number: 1 April 1, 2016
EN

DEVELOPABLE BERTRAND OFFSETS OF TRAJECTORY SPACELIKE RULED SURFACES

Abstract

In this study, some characterizations for developable Bertrand o - sets of a spacelike ruled surface are introduced. It is shown that if there exist more than one developable Bertrand o sets of a developable spacelike ruled surface, then the striction curve of reference surface is a general helix in the Minkowski 3-space R3 1.

Keywords

References

  1. [1] Beem, J.K., Ehrlich, P.E., Global Lorentzian Geometry, Marcel Dekker, New York, 1981.
  2. [2] Chen, Y.J., Ravani, B., O set Surface Generation and Contouring in Computer Aided Design, ASME Journal of Mechanisms, Transmissions and Automation in Design, 1987.
  3. [3] Farouki, R.T., The Approximation of Non-Degenerate o set Surfaces, Computer Aided Geometric Design, 3(1) (1986) 15-43.
  4. [4] Kasap E., Kuruoglu, N., The Bertrand O sets of Ruled Surfaces in R3 1, ACTA MATHEMATICA VIETNAMICA, 31(1) (2006) 39-48.
  5. [5] Kim, Y.H., Yoon, W.D., Classi cation of ruled surfaces in Minkowski 3-space, J. of Geom. and Physics, 49(1) (2004) 89-100.
  6. [6] Kucuk, A., On the developable timelike trajectory ruled surfaces in Lorentz 3-space R3 1, App. Math. and Comp., 157(2) (2004) 483-489.
  7. [7] Kucuk, A., On the developable of Bertrand Trajectory Ruled Surface O sets, Intern. Math. Journal, 4(1) (2003) 57-64.
  8. [8] O'Neill, B., Semi Riemannian Geometry with Applications to Relativity, Academic Press, New York-London, 1983.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Zehra Ekinci This is me
Türkiye

Publication Date

April 1, 2016

Submission Date

July 10, 2014

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 1

APA
Önder, M., Ekinci, Z., & Küçük, A. (2016). DEVELOPABLE BERTRAND OFFSETS OF TRAJECTORY SPACELIKE RULED SURFACES. Konuralp Journal of Mathematics, 4(1), 140-147. https://izlik.org/JA45KA49LX
AMA
1.Önder M, Ekinci Z, Küçük A. DEVELOPABLE BERTRAND OFFSETS OF TRAJECTORY SPACELIKE RULED SURFACES. Konuralp J. Math. 2016;4(1):140-147. https://izlik.org/JA45KA49LX
Chicago
Önder, Mehmet, Zehra Ekinci, and Ahmet Küçük. 2016. “DEVELOPABLE BERTRAND OFFSETS OF TRAJECTORY SPACELIKE RULED SURFACES”. Konuralp Journal of Mathematics 4 (1): 140-47. https://izlik.org/JA45KA49LX.
EndNote
Önder M, Ekinci Z, Küçük A (April 1, 2016) DEVELOPABLE BERTRAND OFFSETS OF TRAJECTORY SPACELIKE RULED SURFACES. Konuralp Journal of Mathematics 4 1 140–147.
IEEE
[1]M. Önder, Z. Ekinci, and A. Küçük, “DEVELOPABLE BERTRAND OFFSETS OF TRAJECTORY SPACELIKE RULED SURFACES”, Konuralp J. Math., vol. 4, no. 1, pp. 140–147, Apr. 2016, [Online]. Available: https://izlik.org/JA45KA49LX
ISNAD
Önder, Mehmet - Ekinci, Zehra - Küçük, Ahmet. “DEVELOPABLE BERTRAND OFFSETS OF TRAJECTORY SPACELIKE RULED SURFACES”. Konuralp Journal of Mathematics 4/1 (April 1, 2016): 140-147. https://izlik.org/JA45KA49LX.
JAMA
1.Önder M, Ekinci Z, Küçük A. DEVELOPABLE BERTRAND OFFSETS OF TRAJECTORY SPACELIKE RULED SURFACES. Konuralp J. Math. 2016;4:140–147.
MLA
Önder, Mehmet, et al. “DEVELOPABLE BERTRAND OFFSETS OF TRAJECTORY SPACELIKE RULED SURFACES”. Konuralp Journal of Mathematics, vol. 4, no. 1, Apr. 2016, pp. 140-7, https://izlik.org/JA45KA49LX.
Vancouver
1.Mehmet Önder, Zehra Ekinci, Ahmet Küçük. DEVELOPABLE BERTRAND OFFSETS OF TRAJECTORY SPACELIKE RULED SURFACES. Konuralp J. Math. [Internet]. 2016 Apr. 1;4(1):140-7. Available from: https://izlik.org/JA45KA49LX
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.