Research Article

SOME SPECIAL CURVES IN DUAL 3-SPACE

Volume: 2 Number: 1 January 30, 2019
EN

SOME SPECIAL CURVES IN DUAL 3-SPACE

Abstract

Rectifying, normal and osculating curves have been worked on many times in dierent spaces. The aim of this paper is to characterize these curves from another point of view in three dimensional Dual space.

Keywords

References

  1. A. Yücesan, N. Ayyıldız and A. C. Coken, On Rectifying Dual Space Curves, Revista Matematica Complutense, 20, 497-506, (2007).B. Y. Chen, When does the position vector of a space curve always lie in its rectifying plane?,Amer. Math. Monthly, 110, 147{152 (2003).E. Study, Geometrie der Dynamen, Leibzig, (1903). G. Oztürk, A. Küçük and K. Arslan, Some Characteristic Properties of AW(k)-type Curves on Dual Unit Sphere, Extracta Mathematicae, 29, (1-2), 167-175, (2014).G. R. Veldkamp, On the use of dual numbers, vectors and matrices in instantaneous, spatial kinematics, Mech. Mach. Theory 11, no. 2, 141{156 (1976).J. Logan and Y. M. Oh, Characterization of Rectifying and Sphere Curves in R3; American Journal of Undergraduate Research. 14, 2 (2017). M. Do Carmo, Di_erential geometry of curves and surfaces, Prentice-Hall, Upper Saddle Riv. N.J., 1976. Ö. Köse, S. Nizamoğlu and M. Sezer, An explicit characterization of dual spherical curves, Do_ga Mat. 12, no. 3, 105{113 (1988). R. A. Abdel Baky, An Explicit Characterization of Dual Spherical Curve, Commun. Fac. Sci. Univ. Ank. Series A1, 51(2), 1-9, (2002).S. Ozkaldi, K. İlarslan and Y. Yaylı, On Mannheim Partner Curve in Dual Space, An. St. Univ. Ovidius Constanta, 17(2), 131-142, (2009). W. K. Cli_ord, Preliminary Sketch of bi-Quaternions, Proceedings of London Mathematical Society, 65, 361-395, (1873).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

January 30, 2019

Submission Date

January 2, 2019

Acceptance Date

January 22, 2019

Published in Issue

Year 2019 Volume: 2 Number: 1

APA
Yılmaz, B. (2019). SOME SPECIAL CURVES IN DUAL 3-SPACE. Journal of Universal Mathematics, 2(1), 60-67. https://doi.org/10.33773/jum.506492
AMA
1.Yılmaz B. SOME SPECIAL CURVES IN DUAL 3-SPACE. JUM. 2019;2(1):60-67. doi:10.33773/jum.506492
Chicago
Yılmaz, Beyhan. 2019. “SOME SPECIAL CURVES IN DUAL 3-SPACE”. Journal of Universal Mathematics 2 (1): 60-67. https://doi.org/10.33773/jum.506492.
EndNote
Yılmaz B (January 1, 2019) SOME SPECIAL CURVES IN DUAL 3-SPACE. Journal of Universal Mathematics 2 1 60–67.
IEEE
[1]B. Yılmaz, “SOME SPECIAL CURVES IN DUAL 3-SPACE”, JUM, vol. 2, no. 1, pp. 60–67, Jan. 2019, doi: 10.33773/jum.506492.
ISNAD
Yılmaz, Beyhan. “SOME SPECIAL CURVES IN DUAL 3-SPACE”. Journal of Universal Mathematics 2/1 (January 1, 2019): 60-67. https://doi.org/10.33773/jum.506492.
JAMA
1.Yılmaz B. SOME SPECIAL CURVES IN DUAL 3-SPACE. JUM. 2019;2:60–67.
MLA
Yılmaz, Beyhan. “SOME SPECIAL CURVES IN DUAL 3-SPACE”. Journal of Universal Mathematics, vol. 2, no. 1, Jan. 2019, pp. 60-67, doi:10.33773/jum.506492.
Vancouver
1.Beyhan Yılmaz. SOME SPECIAL CURVES IN DUAL 3-SPACE. JUM. 2019 Jan. 1;2(1):60-7. doi:10.33773/jum.506492

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