Research Article

Some characterizations of dual vector fields

Volume: 4 Number: 3 September 30, 2016
EN

Some characterizations of dual vector fields

Abstract

The set of the dual vectors which are introduced by ,  called as dual vector field. In our paper, we introduce the directional derivative of the dual vector fields and investigate some properties of them. Then we give a numeric example of the dual vector field aided by E. Study theorem.


Keywords

References

  1. Kandasamy, W.B.V., and Smarandache, F., Dual Numbers, Zip Publishing, Ohio, 2012.
  2. Study, E., Die Geometrie der Dynamen, Leibzig, 1903.
  3. Kazaz, M., Ozdemir, A., Ugurlu H.H., Eliptic Motion on Dual Hyperbolic Unit Sphere H ̃_0^2, Mechanism Machine Theory, 1450-1459, 2009.
  4. Veldkamp, G. R., On the Use of Dual Numbers, Vectors and Matrices in Instantaneous Spatial Kinematics, Mechanisms and Machine Theory, vol. 11 pp. 141-156, 1976.
  5. Taleshian, A., Application of Covariant Derivative in the Dual Space, Int. J. Contemp. Math. Sciences, Vol. 4, no. 17, 821-826, 2009.
  6. Ball, R.S., Theory of Screws, Cambridge University Press, Cambridge, 1900.
  7. O’Neill, B., Elementary Geometry Differential, New York and London, 1966.
  8. Do Carmo, M.P., Differential Geometry Curves and Surfaces, Prentice Hall, Englewood Cliffs, 1976.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Serkan Celik This is me
Türkiye

Publication Date

September 30, 2016

Submission Date

January 9, 2016

Acceptance Date

May 6, 2016

Published in Issue

Year 1970 Volume: 4 Number: 3

APA
Kusak Samanci, H., & Celik, S. (2016). Some characterizations of dual vector fields. New Trends in Mathematical Sciences, 4(3), 223-230. https://izlik.org/JA49DF84AJ
AMA
1.Kusak Samanci H, Celik S. Some characterizations of dual vector fields. New Trends in Mathematical Sciences. 2016;4(3):223-230. https://izlik.org/JA49DF84AJ
Chicago
Kusak Samanci, Hatice, and Serkan Celik. 2016. “Some Characterizations of Dual Vector Fields”. New Trends in Mathematical Sciences 4 (3): 223-30. https://izlik.org/JA49DF84AJ.
EndNote
Kusak Samanci H, Celik S (September 1, 2016) Some characterizations of dual vector fields. New Trends in Mathematical Sciences 4 3 223–230.
IEEE
[1]H. Kusak Samanci and S. Celik, “Some characterizations of dual vector fields”, New Trends in Mathematical Sciences, vol. 4, no. 3, pp. 223–230, Sept. 2016, [Online]. Available: https://izlik.org/JA49DF84AJ
ISNAD
Kusak Samanci, Hatice - Celik, Serkan. “Some Characterizations of Dual Vector Fields”. New Trends in Mathematical Sciences 4/3 (September 1, 2016): 223-230. https://izlik.org/JA49DF84AJ.
JAMA
1.Kusak Samanci H, Celik S. Some characterizations of dual vector fields. New Trends in Mathematical Sciences. 2016;4:223–230.
MLA
Kusak Samanci, Hatice, and Serkan Celik. “Some Characterizations of Dual Vector Fields”. New Trends in Mathematical Sciences, vol. 4, no. 3, Sept. 2016, pp. 223-30, https://izlik.org/JA49DF84AJ.
Vancouver
1.Hatice Kusak Samanci, Serkan Celik. Some characterizations of dual vector fields. New Trends in Mathematical Sciences [Internet]. 2016 Sep. 1;4(3):223-30. Available from: https://izlik.org/JA49DF84AJ