Journals / Mathematical Sciences and Applications E-Notes / 2015 / Cilt: 3 - Sayı: 1

SPACELIKE CURVES OF CONSTANT BREADTH ACCORDING TO BISHOP FRAME IN MINKOWSKI 3-SPACE

Pages
86–93
Publication Date
2015-05-15
DOI
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KOCAYİĞİT, H., ÇETİN, M. (2015). SPACELIKE CURVES OF CONSTANT BREADTH ACCORDING TO BISHOP FRAME IN MINKOWSKI 3-SPACE. Mathematical Sciences and Applications E-Notes, Cilt: 3 - Sayı: 1, 86–93. https://ajindex.com/articles/690795

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References (21)

  1. Euler, L., De Curvis Triangularibus, Acta Acad. Petropol., 3-30, 1778 (1780)
  2. Barbier, E., Note Sur le Probleme de I’aiguille et le jeu du Joint Couvert, Journal de Math´ematiques Pures et Appliqu´ees, 2 (1860), no. 5, 273-286
  3. Fujiwara, M., On space Curves of Constant Breadth, Tohoku Mathematical Journal, 5 (1914), 180-184
  4. Blaschke, W., Leibziger Berichte, 67 (1917), 290
  5. Ball, N.H., On Ovals, American Mathematical Monthly, 37 (1930), no. 7, 348-353
  6. Mellish, A.P., Notes on Differential Geometry, Annals of Mathematics, 32 (1931), no. 1, 181-190
  7. Hammer, P.C., Constant Breadth Curves in the Plane, Procedings of the American Mathematical Society, 6 (1955), no. 2, 333-334
  8. Smakal, S., Curves of Constant Breadth, Czechoslovak Mathematical Journal, 23 (1973), no. 1, 86-94
  9. Köse, O., Düzlemde Ovaller ve Sabit Genişlikli Eğrilerin Bazı Özellikleri, Doğa Bilim Dergisi, Seri B, 8 (1984), no. 2, 119-126
  10. Köse, O., On Space Curves of Constant Breadth, ¨ Do˘ga Tr. J. Math, 10 (1986), no. 1, 11-14
  11. Ma˘gden, A., and Köse, O., On the Curves of Constant Breadth in ¨ E4 Space, Tr. J. of Mathematics, 21 (1997), 277-284
  12. Akdoğan, Z., and Mağden, A., Some Characterization of Curves of Constant Breadth in En Space, Turk J Math, 25 (2001), 433-444
  13. Reuleaux, F., The Kinematics of Machinery, Translated by A. B. W. Kennedy, Dover Pub. New York, 1963
  14. Sezer, M., Differential Equations Characterizing Space Curves of Constant Breadth and a Criterion for These Curves, Turkish J. of Math, 13 (1989), no. 2, 70-78
  15. Onder, M., Kocayi˘git, H. and Candan, E., Differential Equations Characterizing Timelike ¨ and Spacelike Curves of Constant Breadth in Minkowski 3-Space E31, J. Korean Math. Soc. 48 (2011), no. 4, 849-866
  16. Kocayiğit, H. and Önder, M., Space Curves of Constant Breadth in Minkowski 3-Space, ¨ Annali di Matematica, 192 (2013), no. 5, 805-814
  17. O’Neill, B., Semi Riemannian Geometry with Applications to Relativity, Academic Press, New York, 1983
  18. Hanson, A.J. and Ma, H., Parallel Transport Approach to Curve Framing, Indiana University, Technical Report TR425, January 11, 1995
  19. Bishop, R.L., There is More Than One Way to Frame a Curve, American Mathematical Monthly, 82 (1975), no. 3, 246-251
  20. Hanson, A.J., and Ma, H., Quaternion Frame Approach to Streamline Visualization, IEEE Transactions on Visulation and Computer Graphics, 1 (1995), no.2, 164-174
  21. B. Bükçü and M.K. Karacan, Bishop fr