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
- Kandasamy, W.B.V., and Smarandache, F., Dual Numbers, Zip Publishing, Ohio, 2012.
- Study, E., Die Geometrie der Dynamen, Leibzig, 1903.
- Kazaz, M., Ozdemir, A., Ugurlu H.H., Eliptic Motion on Dual Hyperbolic Unit Sphere H ̃_0^2, Mechanism Machine Theory, 1450-1459, 2009.
- 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.
- Taleshian, A., Application of Covariant Derivative in the Dual Space, Int. J. Contemp. Math. Sciences, Vol. 4, no. 17, 821-826, 2009.
- Ball, R.S., Theory of Screws, Cambridge University Press, Cambridge, 1900.
- O’Neill, B., Elementary Geometry Differential, New York and London, 1966.
- Do Carmo, M.P., Differential Geometry Curves and Surfaces, Prentice Hall, Englewood Cliffs, 1976.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
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