Uneingeschränkter Zugang

Second Binormal Motions of Inextensible Curves in 4-dimensional Galilean Space


Zitieren

G. Chirikjian, J. Burdick, A modal approach to hyper-redundant manipulator kinematics, IEEE Trans. Robot. Autom. 10, 343–354,1994.ChirikjianG.BurdickJ.A modal approach to hyper-redundant manipulator kinematicsIEEE Trans. Robot. Autom10343354199410.1109/70.294209Search in Google Scholar

D.Y. Kwon, F.C. Park and D.P. Chi, Inextensible flows of curves and developable surfaces, Appl. Math. Lett. 2005, 18, 1156–1162.KwonD.Y.ParkF.C.ChiD.P.Inextensible flows of curves and developable surfacesAppl. Math. Lett2005181156116210.1016/j.aml.2005.02.004Search in Google Scholar

M. Ergut, E. Turhan, T. Körpinar, Characterization of inextensible flows of spacelike curves with Sabban frame in S 12[_1^2 . Bol. Soc. Parana. Mat. Vol. 31 No. 2 (2013), 47–53.ErgutM.TurhanE.KörpinarT.Characterization of inextensible flows of spacelike curves with Sabban frame in S 12[_1^2 Bol. Soc. Parana. Mat3122013475310.5269/bspm.v31i2.15957Search in Google Scholar

O., Gökmen, M. Tosun and S. Ozkaldı Karakus, A note on inextensible flows of curves in En. Int. Electron. J. Geom. Vol. 6 No. 2 (2013), 118–124.GökmenO.TosunM.Ozkaldı KarakusS.A note on inextensible flows of curves in EnInt. Electron. J. Geom622013118124Search in Google Scholar

R. A. Hussien and S. G. Mohamed, Generated Surfaces via Inextensible Flows of Curves in R3, J. Appl. Math. Volume 2016, Article ID 6178961, 8 pages (2016), Article ID 6178961, 10.1155/2016/6178961.HussienR. A.MohamedS. G.Generated Surfaces via Inextensible Flows of Curves in R3J. Appl. Math2016Article ID 6178961,82016Article ID 6178961,10.1155/2016/6178961Open DOISearch in Google Scholar

M. Kass, A. Witkin, D. Terzopoulos, Snakes: active contour models, in: Proc. 1st Int. Conference on Computer Vision, 259–268,1987.KassM.WitkinA.TerzopoulosD.Snakes: active contour modelsin:Proc. 1st Int. Conference on Computer Vision259268198710.1007/BF00133570Search in Google Scholar

T. Körpinar, and E. Turhan A New Version of Inextensible Flows of Spacelike Curves with Timelike B2 in Minkowski Space-Time E 14[_1^4 , Differ. Equ. Dyn. Syst., 2013, 21 (3), 281–290.KörpinarT.TurhanE.A New Version of Inextensible Flows of Spacelike Curves with Timelike B2 in Minkowski Space-Time E 14[_1^4 Differ. Equ. Dyn. Syst.201321328129010.1007/s12591-012-0152-4Search in Google Scholar

T. Körpinar, and E. Turhan, Approximation for inextensible flows of curves in E3. Bol. Soc. Parana. Mat. Vol. (3) 32 No. 2 (2014), 45–54.KörpinarT.TurhanE.Approximation for inextensible flows of curves in E3Bol. Soc. Parana. Mat(3)3222014455410.5269/bspm.v32i2.19832Search in Google Scholar

M. Desbrun, M.P. Cani-Gascuel, Active implicit surface for animation, in: Proc. Graphics Interface Canadian Inf. Process. Soc., 143–150, 1998.DesbrunM.Cani-GascuelM.P.Active implicit surface for animationin:Proc. Graphics Interface Canadian Inf. Process. Soc.1431501998Search in Google Scholar

H. Mochiyama, E. Shimemura, H. Kobayashi, Shape control of manipulators with hyper degrees of freedom, Int. J. Robot. Res., 18, 584–600, 1999.MochiyamaH.ShimemuraE.KobayashiH.Shape control of manipulators with hyper degrees of freedomInt. J. Robot. Res.18584600199910.1177/02783649922066411Search in Google Scholar

D. Latifi, A. Razavi A, Inextensible Flows of Curves in Minkowskian Space, Adv. Studies Theor. Phys. 2(16): 761–768, 2008.LatifiD.Razavi AA.Inextensible Flows of Curves in Minkowskian SpaceAdv. Studies Theor. Phys2167617682008Search in Google Scholar

H.Q. Lu, J.S. Todhunter, T.W. Sze, Congruence conditions for nonplanar developable surfaces and their application to surface recognition, CVGIP, Image Underst. 56, 265–285, 1993.LuH.Q.TodhunterJ.S.SzeT.W.Congruence conditions for nonplanar developable surfaces and their application to surface recognitionCVGIP, Image Underst56265285199310.1006/ciun.1993.1042Search in Google Scholar

S. G. Mohamed, Inextensible Flows of Spacelike Curves in De-Sitter Space S 12[_1^2 , Appl. Math. Inf. Sci. Lett. 6, No. 2, 75–83 (2018).MohamedS. G.Inextensible Flows of Spacelike Curves in De-Sitter Space S 12[_1^2 Appl. Math. Inf. Sci. Lett627583201810.18576/amisl/060204Search in Google Scholar

S. G. Mohamed, Binormal motions of inextensible Curves in de-sitter space S 12[_1^2 , Journal of Egyptian Mathematical Society 25 313–318, 2017.MohamedS. G.Binormal motions of inextensible Curves in de-sitter space S 12[_1^2 Journal of Egyptian Mathematical Society25313318201710.1016/j.joems.2017.04.002Search in Google Scholar

H. Öztekin, Special Bertrand Curves in 4D Galilean Space, Mathematical Problems in Engineering Volume 2014, Article ID 318458, 7 pages http://dx.doi.org/10.1155/2014/318458.ÖztekinH.Special Bertrand Curves in 4D Galilean SpaceMathematical Problems in Engineering2014Article ID 318458,7http://dx.doi.org/10.1155/2014/318458.10.1155/2014/318458Search in Google Scholar

S. Yilmaz, “Construction of the Frenet-Serret frame of a curve in 4D-Galilean space and some applications,” International Journal of Physical Sciences, vol. 5, no.8, pp. 1284–1289,2010.YilmazS.“Construction of the Frenet-Serret frame of a curve in 4D-Galilean space and some applications,”International Journal of Physical Sciences58128412892010Search in Google Scholar

D.J. Unger, Developable surfaces in elastoplastic fracture mechanics, Int. J. Fract. 50, 33–38, 1991.UngerD.J.Developable surfaces in elastoplastic fracture mechanicsInt. J. Fract503338199110.1007/BF00032160Search in Google Scholar

M. Yeneroğlu, On new characterization of inextensible flows of space-like curves in de Sitter space, Open Mathemetics, Vol14(1), 2016.YeneroğluM.On new characterization of inextensible flows of space-like curves in de Sitter spaceOpen Mathemetics141201610.1515/math-2016-0071Search in Google Scholar

Z. Yüzbaşı and M. Bektaş, A Note on İnextensible Flows of Partially and Pseudo Null Curves In E14[E_1^4 . arXiv.org math arXiv:1303.2956v1YüzbaşıZ.BektaşM.A Note on İnextensible Flows of Partially and Pseudo Null Curves In E14[E_1^4 arXiv.org math arXiv:1303.2956v1Search in Google Scholar

eISSN:
2444-8656
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
Volume Open
Fachgebiete der Zeitschrift:
Biologie, andere, Mathematik, Angewandte Mathematik, Allgemeines, Physik