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Year 2019, Volume: 2 Issue: 1, 60 - 67, 30.01.2019
https://doi.org/10.33773/jum.506492

Abstract

References

  • 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).

SOME SPECIAL CURVES IN DUAL 3-SPACE

Year 2019, Volume: 2 Issue: 1, 60 - 67, 30.01.2019
https://doi.org/10.33773/jum.506492

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.

References

  • 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).
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Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Beyhan Yılmaz

Publication Date January 30, 2019
Submission Date January 2, 2019
Acceptance Date January 22, 2019
Published in Issue Year 2019 Volume: 2 Issue: 1

Cite

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