Surface Family Pair with Bertrand Pair as Common Geodesic Curves in Galilean 3-Space 𝔾 3

Areej A. Almoneef and Rashad A. Abdel-Baky ()
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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

Mathematics, 2023, vol. 11, issue 10, 1-11

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.

Keywords: isotropic normal; Serret–Frenet formulae; Bertrand pair; marching-scale functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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