On the Geometry of Curves in Minkowski 3-Space and Its Foldings

Show more

References

[1] A. E. El-Ahmady and E. Al-Hesiny, “Conditional Retraction of Some Curves in Minkowski 3-Space,” International Journal of Applied Mathematics and Statistics, Vol. 32, No. 2, 2012, pp. 39-47.

[2] A. E. El-Ahmady, “The Variation of the Density on Chaotic Spheres in Chaotic Space-Like Minkowski Space Time,” Chaos, Solitons and Fractals, Vol. 31, No. 5, 2007, pp. 1272-1278. doi:10.1016/j.chaos.2005.10.112

[3] A. E. El-Ahmady and E. Al-Hesiny, “The Topological Folding of the Hyperbola in Minkowski 3-Space,” The International Journal of Nonlinear Science, Vol. 11, No. 4, 2011, pp. 451-458.

[4] A. E. El-Ahmady and E. Al-Hesiny, “Folding and Differential Equations of Some Curves in Minkowski Space,” Life Science Journal, Vol. 9, No. 2, 2012, pp. 579-584.

[5] A. E. El-Ahmady and E. Al-Hesiny, “Folding and Deformation Retract of Hyperhelix,” Journal of Mathematics and Statistics, Vol. 8, No. 2, 2012, pp. 241-247.
doi:10.3844/jmssp.2012.241.247

[6] A. E. El-Ahmady, “Retraction of Chaotic Black Hole,” The Journal of Fuzzy Mathematics, Vol. 19, No. 4, 2011, pp. 833-838.

[7] A. E. El-Ahmady, “Limits of Fuzzy Retractions of Fuzzy Hyperspheres and Their Foldings,” Tamkang Journal of Mathematics, Vol. 37, No. 1, 2006, pp. 47-55.

[8] A. E. El-Ahmady, “The Deformation Retract and Topo Logical Folding of Buchdahi Space,” Periodica Mathematica Hungarica, Vol. 28, No. 1, 1994, pp. 19-30.
doi:10.1007/BF01876366

[9] A. E. El-Ahmady, “Folding and Fundamential Group of Buchdahi Space,” Indian Journal of Science and Technology, Vol. 6, No. 1, 2013, pp. 3940-3945.

[10] A. E. El-Ahmady, “On the Fundamental Group and Folding of Klein Bottle,” International Journal of Applied Mathematics and Statistics, Vol. 37, No. 6, 2013, pp. 56-64.

[11] A. E. El-Ahmady, “The Geodesic Deformation Retract of Klein Bottle and Its Folding,” The International Journal of Nonlinear Science, Vol. 12, No. 3, 2011, pp. 323-330.

[12] A. E. El-Ahmady and E. Al-Hesiny, “On Some Curves in Minkowski 3-Space and Its Deformation Retract,” International Journal of Applied Mathematics and Statistics, Vol. 36, No. 6, 2013, pp. 42-53.

[13] G. L. Naber, “Topology, Geometry and Gauge Fields, Foundations,” Springer-Verlage, New York, Berlin, 2011.

[14] M. Reid and B. Szendroi, “Geometry and Topology,” Cambridge University Press, Cambridge, New York, 2005.
doi:10.1017/CBO9780511807510

[15] M. Reid and B. Szendroi, “Topology and Geometry,” Cambridge University Press, New York, 2005.
doi:10.1017/CBO9780511807510

[16] M. Arkowitz, “Introduction to Homotopy Theory,” Springer-Village, New York, 2011.

[17] J. Strom, “Modern Classical Homotopy Theory,” American Mathematical Society, 2011.

[18] J. M. Lee, “Introduction to Topological Manifolds,” Springer-Verlage, New York, 2011.
doi:10.1007/978-1-4419-7940-7

[19] R. Lopez, “Differential Geometry of Curves and Surfaces in Lorentz-Minkowski Space,” Instituto de Matematica e Estatistica, University of Sao Paulo, Sao Paulo, 2008.