The fundamenal theorem of surfaces theory

Authors

  • Abdel Radi Abdel Rahman Abdel Gadir Abdel Rahman Department of Mathematics, Faculty of Education, Ombudsman Islamic University, Omdurman, Sudan
  • Nemat Omer Babiker Alsiddig Department of Mathematics, Faculty of Education, Ombudsman Islamic University, Omdurman, Sudan
  • Safa Khider Malik Department of Mathematics, Faculty of Education, Ombudsman Islamic University, Omdurman, Sudan

Keywords:

concept of surfaces, orientation of surfaces, first fundamental form, second fundamental form, third fundamental form, the fundamental theorem of surface

Abstract

The Surface is a branch of differential geometry that plays an important role in practical life. This study aimed to present the fundamental theorem of surface theory. We followed the historical and analytical mathematical, method by providing a general idea of ​​surfaces, the orientation of surfaces, the fundamental theory of surfaces. We found the following some results. There exists an essentially unique surface with specified first and second fundamental forms is a profound result called the fundamental theorem of surface theory.

References

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Published

2022-10-31

How to Cite

Rahman, A. R. A. R. A. G. A., Alsiddig, N. O. B., & Malik, S. K. (2022). The fundamenal theorem of surfaces theory. Journal of Advanced Education and Sciences, 2(4), 51–55. Retrieved from https://dzarc.com/education/article/view/167

Issue

Vol. 2 No. 4 (2022)

Section

Articles

License

Copyright (c) 2022 Abdel Radi Abdel Rahman Abdel Gadir Abdel Rahman, Nemat Omer Babiker Alsiddig, Safa Khider Malik

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.