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INEXTENSIBLE FLOWS OF CURVES IN 4-DIMENSIONAL GALILEAN SPACE G4

Year 2013, Volume: 1 Issue: 2, 28 - 34, 01.12.2013

Abstract

In this paper we study inextensible flows of curves in 4-dimensionalGalilean space. We give necessary and sufficient conditions for inextensibleflows are expressed as a partial differential equation involving the curvature in4-dimensional Galilean space

References

  • ¨O˘grenmi¸s, A. O. , Yenero˘glu,M., Inextensible curves in the Galilean space, International Journal of the Physical Sciences 5(2010),no.9, 1424-1427.
  • Kwon, D. Y. , Park, FC., Chi, DP., Inextensible flows of curves and developable surfaces, Applied Mathematics Letters 18 (2005) 1156–1162.
  • Kwon, D. Y. , Park, FC., Evolution of inelastic plane curves, Applied Mathematics Letters 12 (1999) 115–119
  • Unger, D.J. Developable surfaces in elastoplastic fracture mechanics, Int. J. Fract. 50(1991), 33-38 .
  • Latifi, D., Razavi, A., Inextensible flows of curves in Minkowskian Space, Adv. Studies Theor. Phys. 2(16) (2008), 761-768.
  • Lu, H.Q., Todhunter, J.S.,Sze, T.W. , Congruence conditions for nonplanar developable sur- faces and their application to surface recognition, CVGIP, Image Underst. 56(1993)., 265-285.
  • Erg¨ut, M. , Turhan, E., K¨orpınar, T. , Characterization of inextensible flows of spacelike curves with Sabban frame in S21, Bol. Soc. Paran. Mat. 31,2 (2013), 47-53.
  • Kass, M., Witkin, A., Terzopoulos, D., Snakes: active contour models, in:Proc. 1st Int. Conference on Computer Vision, (1987),259-268 .
  • Desbrun, M., Cani-Gascuel, M.-P., Active implicit surface for animation, in:Proc. Graphics Interface-Canadian Inf. Process. Soc., (1998),143-150.
  • Yılmaz, S., Consruction of the Frenet-Serret Frame of a Curve in 4D Galilean Space and
  • Some Applications, Int. Jour. of the Phys. Sci. Vol. 5(8),4 August (2010), pp.1284-1289.
  • Department of Mathematics, Firat University, 23119 Elazı˘g/TURKEY
  • E-mail address: handanoztekin@gmail.com
  • Department of Mathematics, Osmaniye Korkut Ata University, 80000 Osmaniye/TURKEY
  • E-mail address: hulya-gun@hotmail.com
Year 2013, Volume: 1 Issue: 2, 28 - 34, 01.12.2013

Abstract

References

  • ¨O˘grenmi¸s, A. O. , Yenero˘glu,M., Inextensible curves in the Galilean space, International Journal of the Physical Sciences 5(2010),no.9, 1424-1427.
  • Kwon, D. Y. , Park, FC., Chi, DP., Inextensible flows of curves and developable surfaces, Applied Mathematics Letters 18 (2005) 1156–1162.
  • Kwon, D. Y. , Park, FC., Evolution of inelastic plane curves, Applied Mathematics Letters 12 (1999) 115–119
  • Unger, D.J. Developable surfaces in elastoplastic fracture mechanics, Int. J. Fract. 50(1991), 33-38 .
  • Latifi, D., Razavi, A., Inextensible flows of curves in Minkowskian Space, Adv. Studies Theor. Phys. 2(16) (2008), 761-768.
  • Lu, H.Q., Todhunter, J.S.,Sze, T.W. , Congruence conditions for nonplanar developable sur- faces and their application to surface recognition, CVGIP, Image Underst. 56(1993)., 265-285.
  • Erg¨ut, M. , Turhan, E., K¨orpınar, T. , Characterization of inextensible flows of spacelike curves with Sabban frame in S21, Bol. Soc. Paran. Mat. 31,2 (2013), 47-53.
  • Kass, M., Witkin, A., Terzopoulos, D., Snakes: active contour models, in:Proc. 1st Int. Conference on Computer Vision, (1987),259-268 .
  • Desbrun, M., Cani-Gascuel, M.-P., Active implicit surface for animation, in:Proc. Graphics Interface-Canadian Inf. Process. Soc., (1998),143-150.
  • Yılmaz, S., Consruction of the Frenet-Serret Frame of a Curve in 4D Galilean Space and
  • Some Applications, Int. Jour. of the Phys. Sci. Vol. 5(8),4 August (2010), pp.1284-1289.
  • Department of Mathematics, Firat University, 23119 Elazı˘g/TURKEY
  • E-mail address: handanoztekin@gmail.com
  • Department of Mathematics, Osmaniye Korkut Ata University, 80000 Osmaniye/TURKEY
  • E-mail address: hulya-gun@hotmail.com
There are 15 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Handan Öztekin This is me

Hülya G.bozok This is me

Publication Date December 1, 2013
Submission Date March 9, 2015
Published in Issue Year 2013 Volume: 1 Issue: 2

Cite

APA Öztekin, H., & G.bozok, H. (2013). INEXTENSIBLE FLOWS OF CURVES IN 4-DIMENSIONAL GALILEAN SPACE G4. Mathematical Sciences and Applications E-Notes, 1(2), 28-34.
AMA Öztekin H, G.bozok H. INEXTENSIBLE FLOWS OF CURVES IN 4-DIMENSIONAL GALILEAN SPACE G4. Math. Sci. Appl. E-Notes. December 2013;1(2):28-34.
Chicago Öztekin, Handan, and Hülya G.bozok. “INEXTENSIBLE FLOWS OF CURVES IN 4-DIMENSIONAL GALILEAN SPACE G4”. Mathematical Sciences and Applications E-Notes 1, no. 2 (December 2013): 28-34.
EndNote Öztekin H, G.bozok H (December 1, 2013) INEXTENSIBLE FLOWS OF CURVES IN 4-DIMENSIONAL GALILEAN SPACE G4. Mathematical Sciences and Applications E-Notes 1 2 28–34.
IEEE H. Öztekin and H. G.bozok, “INEXTENSIBLE FLOWS OF CURVES IN 4-DIMENSIONAL GALILEAN SPACE G4”, Math. Sci. Appl. E-Notes, vol. 1, no. 2, pp. 28–34, 2013.
ISNAD Öztekin, Handan - G.bozok, Hülya. “INEXTENSIBLE FLOWS OF CURVES IN 4-DIMENSIONAL GALILEAN SPACE G4”. Mathematical Sciences and Applications E-Notes 1/2 (December 2013), 28-34.
JAMA Öztekin H, G.bozok H. INEXTENSIBLE FLOWS OF CURVES IN 4-DIMENSIONAL GALILEAN SPACE G4. Math. Sci. Appl. E-Notes. 2013;1:28–34.
MLA Öztekin, Handan and Hülya G.bozok. “INEXTENSIBLE FLOWS OF CURVES IN 4-DIMENSIONAL GALILEAN SPACE G4”. Mathematical Sciences and Applications E-Notes, vol. 1, no. 2, 2013, pp. 28-34.
Vancouver Öztekin H, G.bozok H. INEXTENSIBLE FLOWS OF CURVES IN 4-DIMENSIONAL GALILEAN SPACE G4. Math. Sci. Appl. E-Notes. 2013;1(2):28-34.

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