TY - JOUR T1 - A NOTE ON INEXTENSIBLE FLOWS OF CURVES IN E^n AU - Yıldız, Önder Gökmen AU - Tosun, Murat AU - Karakuş, Sidika Özkaldi PY - 2013 DA - October JF - International Electronic Journal of Geometry JO - Int. Electron. J. Geom. PB - Kazım İlarslan WT - DergiPark SN - 1307-5624 SP - 118 EP - 124 VL - 6 IS - 2 LA - en KW - Curvature flows KW - inextensible KW - Euclidean n-space CR - [1] Chirikjian, G. S. and Burdick, J., A modal approach to hyper-redundant manipulator kine- matics, IEEE Trans. Robot. Autom., 10(1994), 343–354. CR - [2] Chirikjian, G. S., Closed-form primitives for generating volume preserving deformations, ASME J.Mechanical Design, 117(1995), 347–354. CR - [3] Desbrun, M., Cani-Gascuel, M.-P., Active implicit surface for animation, in: Proc. Graphics Interface Canadian Inf. Process. Soc., 143–150 (1998). CR - [4] Gage, M., Hamilton, R. S., The heat equation shrinking convex plane curves, J. Differential Geom., 23(1986), 69–96. CR - [5] Gluck, H., Higher curvatures of curves in Euclidean space, Amer. Math. Month., 73(1966), 699-704. CR - [6] Grayson, M., The heat equation shrinks embedded plane curves to round points, J. Differen- tial Geom., 26(1987), 285–314. CR - [7] Gürbüzü, N., Inextensible flows of spacelike, timelike and null curves, Int. J. Contemp. Math.Sciences, 4(2009), 1599-1604. CR - [8] Hacisalihoğlu, H. H., Differential Geometry, University of I˙n¨onu¨ Press, Malatya, 1983. CR - [9] Kass, M., Witkin, A., Terzopoulos, D., Snakes: active contour models, in: Proc. 1st Int.Conference on Computer Vision, 259–268 (1987). CR - [10] Kwon, D. Y., Park, F. C., Chi, D. P., Inextensible flows of curves and developable surfaces, Appl. Math. Lett., 18(2005) 1156-1162. CR - [11] Kwon, D. Y., Park, F. C., Evolution of inelastic plane curves, Appl. Math. Lett., 12(1999), pp.115-119. CR - [12] Lu, H. Q., Todhunter, J. S., Sze, T. W., Congruence conditions for nonplanar developable surfaces and their application to surface recognition, CVGIP, Image Underst., 56(1993), 265– 285. CR - [13] Öğrenmiş, A. O., Yeneroğlu, M., Inextensible curves in the Galilean Space, International Journal of the Physical Sciences, 5(2010), 1424-1427. CR - [14] Yildiz, O. G., Ersoy, S., Masal, M., A Note on Inextensible Flows of Curves on Oriented e, arXiv:1106.2012v1. UR - https://dergipark.org.tr/en/pub/iejg/issue//596253 L1 - https://dergipark.org.tr/en/download/article-file/769419 ER -