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Surface Family Pair with Bertrand Pair as Common Geodesic Curves in Galilean 3-Space š¯”¾ 3

Author

Listed:
  • Areej A. Almoneef

    (Department of Mathematical Sciences, College of Sciences, Princess Nourah Bint Abdulrahman, Riyadh 11546, Saudi Arabia)

  • Rashad A. Abdel-Baky

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

Abstract

This paper is about deriving the necessary and sufficient conditions of a surface family pair with a Bertrand pair as common geodesic curves in Galilean 3-space G 3 . Thereafter, the consequence for the ruled surface family pair is also deduced. Meanwhile, some examples are provided to show the surfaces family with common Bertrand geodesic curves.

Suggested Citation

  • Areej A. Almoneef & Rashad A. Abdel-Baky, 2023. "Surface Family Pair with Bertrand Pair as Common Geodesic Curves in Galilean 3-Space š¯”¾ 3," Mathematics, MDPI, vol. 11(10), pages 1-11, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:10:p:2391-:d:1152495
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