Spacelike intersection curve of three spacelike hypersurfaces in E 1 4

B. Uyar Duldul; M. Caliskan

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2013)

  • Volume: 67, Issue: 1
  • ISSN: 0365-1029

Abstract

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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 E 1 4 .

How to cite

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B. Uyar Duldul, and M. Caliskan. "Spacelike intersection curve of three spacelike hypersurfaces in $E_1^4$." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 67.1 (2013): null. <http://eudml.org/doc/289776>.

@article{B2013,
abstract = {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 $E_1^4$.},
author = {B. Uyar Duldul, M. Caliskan},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Intersection curve; hypersurface.},
language = {eng},
number = {1},
pages = {null},
title = {Spacelike intersection curve of three spacelike hypersurfaces in $E_1^4$},
url = {http://eudml.org/doc/289776},
volume = {67},
year = {2013},
}

TY - JOUR
AU - B. Uyar Duldul
AU - M. Caliskan
TI - Spacelike intersection curve of three spacelike hypersurfaces in $E_1^4$
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2013
VL - 67
IS - 1
SP - null
AB - 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 $E_1^4$.
LA - eng
KW - Intersection curve; hypersurface.
UR - http://eudml.org/doc/289776
ER -

References

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  1. Alessio, O., Geometria diferencial de curvas de intersecao de duas superfıcies implıcitas, TEMA Tend. Mat. Apl. Comput. 7 (2) (2006), 169–178. 
  2. Alessio, O., Guadalupe, I. V., Determination of a transversal intersection curve of two spacelike surfaces in Lorentz–Minkowski 3-Space L 3 , Hadronic Journal 30 (3) (2007), 315–342. 
  3. Alessio, O., Differential geometry of intersection curves in R 4 of three implicit surfaces, Comput. Aided Geom. Des. 26 (2009), 455–471. 
  4. Duldul, M., On the intersection curve of three parametric hypersurfaces, Comput. Aided Geom. Des. 27 (2010), 118–127. 
  5. Goldman, R., Curvature formulas for implicit curves and surfaces, Comput. Aided Geom. Des. 22 (2005), 632–658. 
  6. Hartmann, E., G 2 interpolation and blending on surfaces, The Visual Computer 12 (1996), 181–192. 
  7. Turgut, A., Spacelike and timelike ruled surfaces on the Minkowski 3-space R 1 3 , 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. 
  11. Willmore, T. J., An Introduction to Differential Geometry, Clarendon Press, Oxford, 1959. 
  12. Ye, X., Maekawa T., Differential geometry of intersection curves of two surfaces, Comput. Aided Geom. Des. 16 (1999), 767–788. 
  13. 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. 

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