Smarandache Curves In Terms of Sabban Frame of Fixed Pole Curve
DOI:
https://doi.org/10.5269/bspm.v34i2.22375Palavras-chave:
Smarandache Curves, Sabban Frame, Geodesic Curvature, Fixed Pole CurveResumo
In this paper, we study the special Smarandache curve interms of Sabban frame of Fixed Pole curve and we give some characterization of Smarandache curves. Besides, we illustrate examples of our results.Referências
1. Ali A. T., Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, Vol.2, p. 30-36, 2010.
2. Bektas Ö. and Yüce S., Special Smarandache Curves According to Darboux Frame in Euclidean 3- Space,Romanian Journal of Mathematics and Computer Science, Vol.3, Issue 1, p. 48-59, 2013 .
3. Çaliskan A. and Senyurt, S., Smarandache Curves In Terms of Sabban Frame of Spherical Indicatrix Curves, Gen. Math. Notes, in press, 2015.
4. Çaliskan A. and Senyurt, S., NC- Smarandache Curves of Mannheim Curve Couple According to Frenet Frame, International Journal of Mathematical Combinatorics, Vol:1, p. 13-15, 2015.
5. Çetin M., Tunçer Y. and Karacan M. K., Smarandache Curves According to Bishop Frame in Euclidean 3- Space, Gen. Math. Notes, Vol. 20, p. 50-66, 2014.
6. Do Carmo, M. P., Differential Geometry of Curves and Surfaces, Prentice Hall, Englewood Cliffs, NJ, 1976.
7. Hacisalihoglu H.H., Differantial Geometry, Academic Press Inc. Ankara, 1994.
8. Koenderink J., Solid Shape, MIT Press, Cambridge, MA, 1990.
9. O’Neill B., Elemantary Differential Geometry, Academic Press Inc. New York, 1966.
10. Senyurt S. and Sivas S., An Application of Smarandache Curve, University of Ordu journal of science and technology, Vol:3(1), pp. 46-60, 2013.
11. Tasköprü K. and Tosun M., Smarandache Curves on S2, Boletim da Sociedade Paranaense de Matemtica 3 Srie. Vol. 32, no:1, p. 51-59, 2014.
12. Turgut M. and Yilmaz S., Smarandache Curves in Minkowski Space-time, International J. Math. Combin., Vol.3, p. 51-55, 2008.
2. Bektas Ö. and Yüce S., Special Smarandache Curves According to Darboux Frame in Euclidean 3- Space,Romanian Journal of Mathematics and Computer Science, Vol.3, Issue 1, p. 48-59, 2013 .
3. Çaliskan A. and Senyurt, S., Smarandache Curves In Terms of Sabban Frame of Spherical Indicatrix Curves, Gen. Math. Notes, in press, 2015.
4. Çaliskan A. and Senyurt, S., NC- Smarandache Curves of Mannheim Curve Couple According to Frenet Frame, International Journal of Mathematical Combinatorics, Vol:1, p. 13-15, 2015.
5. Çetin M., Tunçer Y. and Karacan M. K., Smarandache Curves According to Bishop Frame in Euclidean 3- Space, Gen. Math. Notes, Vol. 20, p. 50-66, 2014.
6. Do Carmo, M. P., Differential Geometry of Curves and Surfaces, Prentice Hall, Englewood Cliffs, NJ, 1976.
7. Hacisalihoglu H.H., Differantial Geometry, Academic Press Inc. Ankara, 1994.
8. Koenderink J., Solid Shape, MIT Press, Cambridge, MA, 1990.
9. O’Neill B., Elemantary Differential Geometry, Academic Press Inc. New York, 1966.
10. Senyurt S. and Sivas S., An Application of Smarandache Curve, University of Ordu journal of science and technology, Vol:3(1), pp. 46-60, 2013.
11. Tasköprü K. and Tosun M., Smarandache Curves on S2, Boletim da Sociedade Paranaense de Matemtica 3 Srie. Vol. 32, no:1, p. 51-59, 2014.
12. Turgut M. and Yilmaz S., Smarandache Curves in Minkowski Space-time, International J. Math. Combin., Vol.3, p. 51-55, 2008.
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2015-06-01
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