BibTex RIS Cite

Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT

Year 2010, Volume: 39 Issue: 3, - 6, 01.03.2010
https://izlik.org/JA23JY58NA

References

  • Chen, B. Y. When does the position vector of a space curve always lie in its rectifying plane?, Am. Math Monthly 110, 147–152, 2003.
  • Eisenhart, L. P. A Treatise on the Differential Geometry of Curves and Surfaces (Dover Pub. Inc., New York, 1909).
  • Gluck, H. Higher curvatures of curves in Euclidean space, Am. Math. Monthly 73, 699–704, Gray, A. Modern Differential Geometry of Curves and Surfaces (CRC Press, Boca Raton, FL, ). Gursoy, O. Some results on closed ruled surfaces and closed space curves, Mech. Mach. Theory , 323–330, 1990.
  • Hacısaliho˘glu, H. H. Diferensiyel Geometri (Gazi ¨Universitesi Basın-Yayın Y¨uksekokulu Basımevi, Ankara, 1983) (In Turkish).
  • Izumiya, S. and Takeuchi, N. New special curves and developable surfaces, Turkish J. Math. 28, –163, 2004.
  • Izumiya, S. and Takeuchi, N. Special curves and ruled surfaces, Cont. to Alg. and Geo. 44, –212, 2003.
  • Izumiya, S. and Takeuchi, N. Geometry of Ruled Surfaces (Applicable mathematics in the Goldon Age (ed. J. C. Misra), 305–308, Narosa Pulishing House, New Delhi, 2003).
  • Izumiya, S., Katsumi, H. and Yamashi, T. The rectifying developable and spherical Darboux image of a space curve, Geom. and Top. of caustics - Caustics’98 Banach Center Publications , 137–149, 1999.
  • Koenderink, J. Solid Shape (MIT Press, Cambridge MA, 1990).
  • Laugwitz, D. Differential and Riemannian Geometry (Academic Press, New York, 1965).
  • Monterde, J. Curves with constant curvatures ratios, arXiv:math/0412323v1.
  • Ozyilmaz, E. and Yayli, Y. On the closed space-like developable ruled surface, Hadronic J. 23 (4), –456, 2000.
  • Uribe-Vargas, R. On vertices, focal curvatures and differential geometry of space curves, Bull. Brazilian Math. Soc. 36 (3), 285–307, 2005.

Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT

Year 2010, Volume: 39 Issue: 3, - 6, 01.03.2010
https://izlik.org/JA23JY58NA

References

  • Chen, B. Y. When does the position vector of a space curve always lie in its rectifying plane?, Am. Math Monthly 110, 147–152, 2003.
  • Eisenhart, L. P. A Treatise on the Differential Geometry of Curves and Surfaces (Dover Pub. Inc., New York, 1909).
  • Gluck, H. Higher curvatures of curves in Euclidean space, Am. Math. Monthly 73, 699–704, Gray, A. Modern Differential Geometry of Curves and Surfaces (CRC Press, Boca Raton, FL, ). Gursoy, O. Some results on closed ruled surfaces and closed space curves, Mech. Mach. Theory , 323–330, 1990.
  • Hacısaliho˘glu, H. H. Diferensiyel Geometri (Gazi ¨Universitesi Basın-Yayın Y¨uksekokulu Basımevi, Ankara, 1983) (In Turkish).
  • Izumiya, S. and Takeuchi, N. New special curves and developable surfaces, Turkish J. Math. 28, –163, 2004.
  • Izumiya, S. and Takeuchi, N. Special curves and ruled surfaces, Cont. to Alg. and Geo. 44, –212, 2003.
  • Izumiya, S. and Takeuchi, N. Geometry of Ruled Surfaces (Applicable mathematics in the Goldon Age (ed. J. C. Misra), 305–308, Narosa Pulishing House, New Delhi, 2003).
  • Izumiya, S., Katsumi, H. and Yamashi, T. The rectifying developable and spherical Darboux image of a space curve, Geom. and Top. of caustics - Caustics’98 Banach Center Publications , 137–149, 1999.
  • Koenderink, J. Solid Shape (MIT Press, Cambridge MA, 1990).
  • Laugwitz, D. Differential and Riemannian Geometry (Academic Press, New York, 1965).
  • Monterde, J. Curves with constant curvatures ratios, arXiv:math/0412323v1.
  • Ozyilmaz, E. and Yayli, Y. On the closed space-like developable ruled surface, Hadronic J. 23 (4), –456, 2000.
  • Uribe-Vargas, R. On vertices, focal curvatures and differential geometry of space curves, Bull. Brazilian Math. Soc. 36 (3), 285–307, 2005.
There are 13 citations in total.

Details

Primary Language Turkish
Authors

P. Alegre This is me

K. Arslan This is me

A. Carriazo This is me

C. Murathan This is me

G. Öztürk This is me

Publication Date March 1, 2010
IZ https://izlik.org/JA23JY58NA
Published in Issue Year 2010 Volume: 39 Issue: 3

Cite

APA Alegre, P., Arslan, K., Carriazo, A., Murathan, C., & Öztürk, G. (2010). Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics, 39(3), 6. https://izlik.org/JA23JY58NA
AMA 1.Alegre P, Arslan K, Carriazo A, Murathan C, Öztürk G. Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics. 2010;39(3):6. https://izlik.org/JA23JY58NA
Chicago Alegre, P., K. Arslan, A. Carriazo, C. Murathan, and G. Öztürk. 2010. “Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT”. Hacettepe Journal of Mathematics and Statistics 39 (3): 6. https://izlik.org/JA23JY58NA.
EndNote Alegre P, Arslan K, Carriazo A, Murathan C, Öztürk G (March 1, 2010) Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics 39 3 6.
IEEE [1]P. Alegre, K. Arslan, A. Carriazo, C. Murathan, and G. Öztürk, “Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT”, Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 3, p. 6, Mar. 2010, [Online]. Available: https://izlik.org/JA23JY58NA
ISNAD Alegre, P. - Arslan, K. - Carriazo, A. - Murathan, C. - Öztürk, G. “Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT”. Hacettepe Journal of Mathematics and Statistics 39/3 (March 1, 2010): 6. https://izlik.org/JA23JY58NA.
JAMA 1.Alegre P, Arslan K, Carriazo A, Murathan C, Öztürk G. Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics. 2010;39:6.
MLA Alegre, P., et al. “Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT”. Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 3, Mar. 2010, p. 6, https://izlik.org/JA23JY58NA.
Vancouver 1.P. Alegre, K. Arslan, A. Carriazo, C. Murathan, G. Öztürk. Some Special Types of Developable Ruled Surface ABSTRACT | FULL TEXT. Hacettepe Journal of Mathematics and Statistics [Internet]. 2010 Mar. 1;39(3):6. Available from: https://izlik.org/JA23JY58NA