Journals / Mathematical Sciences and Applications E-Notes / 2013 / Cilt: 1 - Sayı: 2

INEXTENSIBLE FLOWS OF CURVES IN 4-DIMENSIONAL GALILEAN SPACE G4

Pages
28–34
Publication Date
2013-12-01
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

We give necessary and sufficient conditions for inextensibleflows are expressed as a partial differential equation involving the curvature in4-dimensional Galilean space

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper we study inextensible flows of curves in 4-dimensionalGalilean space.
📊
Key Findings & Data:In this paper we study inextensible flows of curves in 4-dimensionalGalilean space.
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Conclusion & Impact:We give necessary and sufficient conditions for inextensibleflows are expressed as a partial differential equation involving the curvature in4-dimensional Galilean space
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Inextensible flows · Galilean Space

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

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Cite This Article

ÖZTEKİN, H., G.BOZOK, H. (2013). INEXTENSIBLE FLOWS OF CURVES IN 4-DIMENSIONAL GALILEAN SPACE G4. Mathematical Sciences and Applications E-Notes, Cilt: 1 - Sayı: 2, 28–34. https://ajindex.com/articles/690825

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References (10)

  1. ¨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.
  2. Kwon, D. Y., Park, FC., Chi, DP., Inextensible flows of curves and developable surfaces, Applied Mathematics Letters 18 (2005) 1156–1162.
  3. Kwon, D. Y., Park, FC., Evolution of inelastic plane curves, Applied Mathematics Letters 12 (1999) 115–119
  4. Unger, D.J. Developable surfaces in elastoplastic fracture mechanics, Int. J. Fract. 50(1991), 33-38.
  5. Latifi, D., Razavi, A., Inextensible flows of curves in Minkowskian Space, Adv. Studies Theor. Phys. 2(16) (2008), 761-768.
  6. 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.
  7. Kass, M., Witkin, A., Terzopoulos, D., Snakes: active contour models, in:Proc. 1st Int. Conference on Computer Vision, (1987),259-268.
  8. Desbrun, M., Cani-Gascuel, M.-P., Active implicit surface for animation, in:Proc. Graphics Interface-Canadian Inf. Process. Soc., (1998),143-150.
  9. 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.
  10. Department of Mathematics, Firat University, 23119 Elazı˘g/TURKEY E-mail address: [email protected] Department of Mathematics, Osmaniye Korkut Ata University, 80000 Osmaniye/TURKEY E-mail address: [email protected]