Spacelike intersection curve of three spacelike hypersurfaces in E41
B. Uyar Düldül ; M. Çalişkan
Annales UMCS, Mathematica, Tome 67 (2013), p. 23-33 / Harvested from The Polish Digital Mathematics Library

In this paper, we compute the Frenet vectors and the curvatures of the spacelike intersection curve of three spacelike hypersurfaces given by their parametric equations in four-dimensional Minkowski space E41.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:268285
@article{bwmeta1.element.doi-10_2478_v10062-012-0019-8,
     author = {B. Uyar D\"uld\"ul and M. \c Cali\c skan},
     title = {Spacelike intersection curve of three spacelike hypersurfaces in E41},
     journal = {Annales UMCS, Mathematica},
     volume = {67},
     year = {2013},
     pages = {23-33},
     zbl = {1286.53013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-012-0019-8}
}
B. Uyar Düldül; M. Çalişkan. Spacelike intersection curve of three spacelike hypersurfaces in E41. Annales UMCS, Mathematica, Tome 67 (2013) pp. 23-33. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-012-0019-8/

[1] Alessio, O., Geometria diferencial de curvas de interse¸c˜ao de duas superf´ıciesimpl´ıcitas, TEMA Tend. Mat. Apl. Comput. 7 (2) (2006), 169-178.

[2] Alessio, O., Guadalupe, I. V., Determination of a transversal intersection curve oftwo spacelike surfaces in Lorentz-Minkowski 3-Space L3, Hadronic Journal 30 (3) (2007), 315-342. | Zbl 1142.53304

[3] Alessio, O., Differential geometry of intersection curves in R4 of three implicit surfaces, Comput. Aided Geom. Des. 26 (2009), 455-471.[WoS] | Zbl 1205.65064

[4] D¨uld¨ul, M., On the intersection curve of three parametric hypersurfaces, Comput. Aided Geom. Des. 27 (2010), 118-127.[WoS] | Zbl 1210.65056

[5] Goldman, R., Curvature formulas for implicit curves and surfaces, Comput. Aided Geom. Des. 22 (2005), 632-658. | Zbl 1084.53004

[6] Hartmann, E., G2 interpolation and blending on surfaces, The Visual Computer 12 (1996), 181-192. | Zbl 0846.68099

[7] Turgut, A., Spacelike and timelike ruled surfaces on the Minkowski 3-space R3 1, Ph. D. thesis, Ankara University, 1995.

[8] O’Neill, B., Semi Riemannian Geometry, Academic Press, New York-London, 1983.

[9] Walrave, J., Curves and surfaces in Minkowski space, Ph. D. thesis, K. U. Leuven. Fac. Science, Leuven, 1995.

[10] Williams, M. Z., Stein, F. M., A triple product of vectors in four-space, Math. Mag. 37 (4) (1964), 230-235.[Crossref] | Zbl 0123.14402

[11] Willmore, T. J., An Introduction to Differential Geometry, Clarendon Press, Oxford, 1959. | Zbl 0086.14401

[12] Ye, X., Maekawa T., Differential geometry of intersection curves of two surfaces, Comput. Aided Geom. Des. 16 (1999), 767-788. | Zbl 0997.65038

[13] Yilmaz, S., Turgut, M., On the differential geometry of the curves in Minkowskispace-time I, Int. J. Contemp. Math. Sciences 3 (27) (2008), 1343-1349. | Zbl 1169.53312