SOME SPECIAL CURVES IN DUAL 3-SPACE
Abstract
Keywords
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).
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Beyhan Yılmaz
*
Türkiye
Publication Date
January 30, 2019
Submission Date
January 2, 2019
Acceptance Date
January 22, 2019
Published in Issue
Year 2019 Volume: 2 Number: 1
Cited By
Differential Geometry of Curves in Dual Space
Vietnam Journal of Mathematics
https://doi.org/10.1007/s10013-025-00766-7WITHDRAWN: Innovations beyond the Classical Framework in the Dual Space D3
Applied Mathematics Letters
https://doi.org/10.1016/j.aml.2025.109786