Garay’s Condition of Deformed Cylindrical and Translation Surfaces in E3

  • Hamdy N. Abd-Ellah
  • M. A. Soliman
  • S. A. Hassan
  • S. Q. Saleh
Keywords: Cylindrical Surfaces, Translation Surfaces, Variation, Garay’s condition

Abstract

The motivation of the present work is to develop the finiteness property in our work [1, 2, 3, 4] by using Garay’s condition [5]. The mean curvature flow and the finiteness property of the cylindrical surfaces in E3 are investigated. Additionally, the linear deformation of such surfaces is studied. Finally, the translation surfaces are discussed.

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Author Biographies

Hamdy N. Abd-Ellah

Department of Mathematics, Faculty of Science, Assiut University, Assiut, 71516, Egypt

M. A. Soliman

Department of Mathematics, Faculty of Science, Assiut University, Assiut, 71516, Egypt

S. A. Hassan

Department of Mathematics, Faculty of Science, Assiut University, Assiut, 71516, Egypt

S. Q. Saleh

Department of Mathematics, Faculty of Science, Assiut University, Assiut, 71516, Egypt

References

[1] M. A. Soliman, H. N. Abd-Ellah, S. A. Hassan and S. Q. Saleh, Frenet surfaces with pointwise 1
Published
2019-04-30
How to Cite
Abd-Ellah, H. N., Soliman, M. A., A. Hassan, S., & Q. Saleh, S. (2019). Garay’s Condition of Deformed Cylindrical and Translation Surfaces in E3. MathLAB Journal, 2(1), 1-12. Retrieved from https://purkh.com/index.php/mathlab/article/view/98
Section
Research Articles