H.H. Hacısalihoglu, The Motion Geometry and Quatenions Theory (in Turkish), Gazi University Publications, (1983).
M. Turgut and S. Yılmaz, Smarandache Curves in Minkowski Space-time, International Journal of Mathematical Combinatorics, 3, 51-55, (2008).
A. T. Ali, Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, 2, 30-36, (2010).
S. Şenyurt and S. Sivas, An Application of Smarandache Curve, Ordu Univ. J. Sci. Tech. 3(1), 46-60, (2013).
K. Taşköprü and M. Tosun, Smarandache Curves on S2, Boletim da Sociedade paranaense de Matematica 3 serie, 32(1):51-59, (2014).
M. Çetin, Y. Tuncer, M.K. Karacan, Smarandache curves according to Bishop frame in Euclidean 3-space. General Mathematics Notes, 20:50-66 (2014).
N. Bayrak, Ö. Bektaş, S. Yüce, Special Smarandache curves in E3 1, Communications Faculty of Sciences University of Ankara Series A1:Mathematics and Statistics, 65(2): 143-160, (2016).
Ü. Çelik, Smarandache Curves of Bertrand Curve Pair According to Frenet Frame, Master’s Thesis, University of Ordu, (2016).
B. Uzunoğlu, I. Gök and Y. Yaylı, A New Approach on Curves of Constant Precession, Appl. Math. Comput. 275, 317-323, (2016).
SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3
In this study, we focus on Smarandache curves which is a special class of curves. These curves have previously been studied by many authors in different spaces. We will
re-characterize these curves with the help of an alternative frame different from Frenet frame. Also, we will obtain frame elements, curvature and torsion of these curves.
H.H. Hacısalihoglu, The Motion Geometry and Quatenions Theory (in Turkish), Gazi University Publications, (1983).
M. Turgut and S. Yılmaz, Smarandache Curves in Minkowski Space-time, International Journal of Mathematical Combinatorics, 3, 51-55, (2008).
A. T. Ali, Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, 2, 30-36, (2010).
S. Şenyurt and S. Sivas, An Application of Smarandache Curve, Ordu Univ. J. Sci. Tech. 3(1), 46-60, (2013).
K. Taşköprü and M. Tosun, Smarandache Curves on S2, Boletim da Sociedade paranaense de Matematica 3 serie, 32(1):51-59, (2014).
M. Çetin, Y. Tuncer, M.K. Karacan, Smarandache curves according to Bishop frame in Euclidean 3-space. General Mathematics Notes, 20:50-66 (2014).
N. Bayrak, Ö. Bektaş, S. Yüce, Special Smarandache curves in E3 1, Communications Faculty of Sciences University of Ankara Series A1:Mathematics and Statistics, 65(2): 143-160, (2016).
Ü. Çelik, Smarandache Curves of Bertrand Curve Pair According to Frenet Frame, Master’s Thesis, University of Ordu, (2016).
B. Uzunoğlu, I. Gök and Y. Yaylı, A New Approach on Curves of Constant Precession, Appl. Math. Comput. 275, 317-323, (2016).
Alıç, Ş., & Yılmaz, B. (2021). SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3. Journal of Universal Mathematics, 4(2), 140-156. https://doi.org/10.33773/jum.956862
AMA
Alıç Ş, Yılmaz B. SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3. JUM. Temmuz 2021;4(2):140-156. doi:10.33773/jum.956862
Chicago
Alıç, Şenay, ve Beyhan Yılmaz. “SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3”. Journal of Universal Mathematics 4, sy. 2 (Temmuz 2021): 140-56. https://doi.org/10.33773/jum.956862.
EndNote
Alıç Ş, Yılmaz B (01 Temmuz 2021) SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3. Journal of Universal Mathematics 4 2 140–156.
IEEE
Ş. Alıç ve B. Yılmaz, “SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3”, JUM, c. 4, sy. 2, ss. 140–156, 2021, doi: 10.33773/jum.956862.
ISNAD
Alıç, Şenay - Yılmaz, Beyhan. “SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3”. Journal of Universal Mathematics 4/2 (Temmuz 2021), 140-156. https://doi.org/10.33773/jum.956862.
JAMA
Alıç Ş, Yılmaz B. SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3. JUM. 2021;4:140–156.
MLA
Alıç, Şenay ve Beyhan Yılmaz. “SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3”. Journal of Universal Mathematics, c. 4, sy. 2, 2021, ss. 140-56, doi:10.33773/jum.956862.
Vancouver
Alıç Ş, Yılmaz B. SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3. JUM. 2021;4(2):140-56.