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 .
@article{bwmeta1.element.ojs-doi-10_17951_a_2013_67_1_23-33, author = {B. Uyar Duldul and M. Caliskan}, title = {Spacelike intersection curve of three spacelike hypersurfaces in $E\_1^4$ }, journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica}, volume = {67}, year = {2013}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2013_67_1_23-33} }
B. Uyar Duldul; M. Caliskan. Spacelike intersection curve of three spacelike hypersurfaces in $E_1^4$ . Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 67 (2013) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2013_67_1_23-33/
Alessio, O., Geometria diferencial de curvas de intersecao de duas superfıcies implıcitas, TEMA Tend. Mat. Apl. Comput. 7 (2) (2006), 169–178.
Alessio, O., Guadalupe, I. V., Determination of a transversal intersection curve of two spacelike surfaces in Lorentz–Minkowski 3-Space , Hadronic Journal 30 (3) (2007), 315–342.
Alessio, O., Differential geometry of intersection curves in of three implicit surfaces, Comput. Aided Geom. Des. 26 (2009), 455–471.
Duldul, M., On the intersection curve of three parametric hypersurfaces, Comput. Aided Geom. Des. 27 (2010), 118–127.
Goldman, R., Curvature formulas for implicit curves and surfaces, Comput. Aided Geom. Des. 22 (2005), 632–658.
Hartmann, E., interpolation and blending on surfaces, The Visual Computer 12 (1996), 181–192.
Turgut, A., Spacelike and timelike ruled surfaces on the Minkowski 3-space , Ph. D. thesis, Ankara University, 1995.
O’Neill, B., Semi Riemannian Geometry, Academic Press, New York–London, 1983.
Walrave, J., Curves and surfaces in Minkowski space, Ph. D. thesis, K. U. Leuven. Fac. Science, Leuven, 1995.
Williams, M. Z., Stein, F. M., A triple product of vectors in four-space, Math. Mag. 37 (4) (1964), 230–235.
Willmore, T. J., An Introduction to Differential Geometry, Clarendon Press, Oxford, 1959.
Ye, X., Maekawa T., Differential geometry of intersection curves of two surfaces, Comput. Aided Geom. Des. 16 (1999), 767–788.
Yilmaz, S., Turgut, M., On the differential geometry of the curves in Minkowski space-time I, Int. J. Contemp. Math. Sciences 3 (27) (2008), 1343–1349.