INEXTENSIBLE FLOWS OF CURVES IN 4-DIMENSIONAL GALILEAN SPACE G4

Yıl 2013, Cilt: 1 Sayı: 2, 28 - 34, 01.12.2013

Handan Öztekin Hülya G.bozok

Öz

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

Anahtar Kelimeler

Inextensible flows, Galilean Space

Kaynakça

• ¨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: [e-mail]
• Department of Mathematics, Osmaniye Korkut Ata University, 80000 Osmaniye/TURKEY
• E-mail address: [e-mail]