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CONSTANT SCALAR CURVATURE OF THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SPHERE

Year 2013, Volume: 6 Issue: 1, 68 - 78, 30.04.2013

Fathi M. Hamdoon Ahmad T. Alı

Abstract


Keywords

kinematic surfaces equiform motion scalar curvature

References

  • [1] Abdel-All, N. H. and Hamdoon, F. M., Cyclic surfaces in E5 generated by equiform motions, J. Geom., 79(2004), 1–11.
  • [2] Bottema, O. and Roth B., Theoretical kinematic, Dover publications Inc., New York, 1990.
  • [3] Castro I. and Urbano F., On a minimal Lagrangian submanifold of Cn foliated by spheres, Michigan Math. J., 46(1999), 71–82.
  • [4] Farin G., Hoschek J. and Kim M., The handbook of computer aided geometric design, North- Holland, Amsterdam, 2002.
  • [5] Jagy W., Sphere foliated constant mean curvature submanifolds, Rocky Mount. J. Math., 28(1998), 983–1015.
  • [6] López R., Cyclic hypersurfaces of constant curvature, Adv. Stud. Pure Math., 34(2002), 185–199.
  • [7] Park S. H., Sphere foliated minimal and constant mean curvature hypersurfaces in space forms Lorentz-Minkowski space, Rocky Mount. J. Math., 32(2002), 1019–1044.
  • [8] Solliman M., Khater A., Hamdoon F. and Solouma E., Three dimensional surfaces foliated by two dimensional spheres, J. Egyptian Math. Soc., 15(2007), 101–110.

Year 2013, Volume: 6 Issue: 1, 68 - 78, 30.04.2013

Fathi M. Hamdoon Ahmad T. Alı

Abstract

References

  • [1] Abdel-All, N. H. and Hamdoon, F. M., Cyclic surfaces in E5 generated by equiform motions, J. Geom., 79(2004), 1–11.
  • [2] Bottema, O. and Roth B., Theoretical kinematic, Dover publications Inc., New York, 1990.
  • [3] Castro I. and Urbano F., On a minimal Lagrangian submanifold of Cn foliated by spheres, Michigan Math. J., 46(1999), 71–82.
  • [4] Farin G., Hoschek J. and Kim M., The handbook of computer aided geometric design, North- Holland, Amsterdam, 2002.
  • [5] Jagy W., Sphere foliated constant mean curvature submanifolds, Rocky Mount. J. Math., 28(1998), 983–1015.
  • [6] López R., Cyclic hypersurfaces of constant curvature, Adv. Stud. Pure Math., 34(2002), 185–199.
  • [7] Park S. H., Sphere foliated minimal and constant mean curvature hypersurfaces in space forms Lorentz-Minkowski space, Rocky Mount. J. Math., 32(2002), 1019–1044.
  • [8] Solliman M., Khater A., Hamdoon F. and Solouma E., Three dimensional surfaces foliated by two dimensional spheres, J. Egyptian Math. Soc., 15(2007), 101–110.
There are 8 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Fathi M. Hamdoon This is me

Ahmad T. Alı This is me

Publication Date April 30, 2013
Published in Issue Year 2013 Volume: 6 Issue: 1

Cite

APA Hamdoon, F. M., & Alı, A. T. (2013). CONSTANT SCALAR CURVATURE OF THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SPHERE. International Electronic Journal of Geometry, 6(1), 68-78.
AMA Hamdoon FM, Alı AT. CONSTANT SCALAR CURVATURE OF THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SPHERE. Int. Electron. J. Geom. April 2013;6(1):68-78.
Chicago Hamdoon, Fathi M., and Ahmad T. Alı. “CONSTANT SCALAR CURVATURE OF THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SPHERE”. International Electronic Journal of Geometry 6, no. 1 (April 2013): 68-78.
EndNote Hamdoon FM, Alı AT (April 1, 2013) CONSTANT SCALAR CURVATURE OF THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SPHERE. International Electronic Journal of Geometry 6 1 68–78.
IEEE F. M. Hamdoon and A. T. Alı, “CONSTANT SCALAR CURVATURE OF THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SPHERE”, Int. Electron. J. Geom., vol. 6, no. 1, pp. 68–78, 2013.
ISNAD Hamdoon, Fathi M. - Alı, Ahmad T. “CONSTANT SCALAR CURVATURE OF THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SPHERE”. International Electronic Journal of Geometry 6/1 (April 2013), 68-78.
JAMA Hamdoon FM, Alı AT. CONSTANT SCALAR CURVATURE OF THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SPHERE. Int. Electron. J. Geom. 2013;6:68–78.
MLA Hamdoon, Fathi M. and Ahmad T. Alı. “CONSTANT SCALAR CURVATURE OF THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SPHERE”. International Electronic Journal of Geometry, vol. 6, no. 1, 2013, pp. 68-78.
Vancouver Hamdoon FM, Alı AT. CONSTANT SCALAR CURVATURE OF THREE DIMENSIONAL SURFACES OBTAINED BY THE EQUIFORM MOTION OF A SPHERE. Int. Electron. J. Geom. 2013;6(1):68-7.