Spacelike intersection curve of three spacelike hypersurfaces in E41

B. Uyar Düldül; M. Çalişkan

Annales UMCS, Mathematica (2013)

  • Volume: 67, Issue: 1, page 23-33
  • ISSN: 2083-7402

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 E41.

How to cite

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B. Uyar Düldül, and M. Çalişkan. "Spacelike intersection curve of three spacelike hypersurfaces in E41." Annales UMCS, Mathematica 67.1 (2013): 23-33. <http://eudml.org/doc/268285>.

@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 E41.},
author = {B. Uyar Düldül, M. Çalişkan},
journal = {Annales UMCS, Mathematica},
keywords = {Intersection curve; hypersurface; intersection curve},
language = {eng},
number = {1},
pages = {23-33},
title = {Spacelike intersection curve of three spacelike hypersurfaces in E41},
url = {http://eudml.org/doc/268285},
volume = {67},
year = {2013},
}

TY - JOUR
AU - B. Uyar Düldül
AU - M. Çalişkan
TI - Spacelike intersection curve of three spacelike hypersurfaces in E41
JO - Annales UMCS, Mathematica
PY - 2013
VL - 67
IS - 1
SP - 23
EP - 33
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 E41.
LA - eng
KW - Intersection curve; hypersurface; intersection curve
UR - http://eudml.org/doc/268285
ER -

References

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  1. [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. [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. Zbl1142.53304
  3. [3] Alessio, O., Differential geometry of intersection curves in R4 of three implicit surfaces, Comput. Aided Geom. Des. 26 (2009), 455-471.[WoS] Zbl1205.65064
  4. [4] D¨uld¨ul, M., On the intersection curve of three parametric hypersurfaces, Comput. Aided Geom. Des. 27 (2010), 118-127.[WoS] Zbl1210.65056
  5. [5] Goldman, R., Curvature formulas for implicit curves and surfaces, Comput. Aided Geom. Des. 22 (2005), 632-658. Zbl1084.53004
  6. [6] Hartmann, E., G2 interpolation and blending on surfaces, The Visual Computer 12 (1996), 181-192. Zbl0846.68099
  7. [7] Turgut, A., Spacelike and timelike ruled surfaces on the Minkowski 3-space R3 1, Ph. D. thesis, Ankara University, 1995. 
  8. [8] O’Neill, B., Semi Riemannian Geometry, Academic Press, New York-London, 1983. 
  9. [9] Walrave, J., Curves and surfaces in Minkowski space, Ph. D. thesis, K. U. Leuven. Fac. Science, Leuven, 1995. 
  10. [10] Williams, M. Z., Stein, F. M., A triple product of vectors in four-space, Math. Mag. 37 (4) (1964), 230-235.[Crossref] Zbl0123.14402
  11. [11] Willmore, T. J., An Introduction to Differential Geometry, Clarendon Press, Oxford, 1959. Zbl0086.14401
  12. [12] Ye, X., Maekawa T., Differential geometry of intersection curves of two surfaces, Comput. Aided Geom. Des. 16 (1999), 767-788. Zbl0997.65038
  13. [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. Zbl1169.53312

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