Generalized Spacelike Normal Curves in Minkowski Three-Space

Yusra Tashkandy, Walid Emam, Clemente Cesarano (), M. M. Abd El-Raouf and Ayman Elsharkawy ()
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Yusra Tashkandy: Department of Statistics and Operations Research, Faculty of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Walid Emam: Department of Statistics and Operations Research, Faculty of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Clemente Cesarano: Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy
M. M. Abd El-Raouf: Basic and Applied Science Institute, Arab Academy for Science, Technology and Maritime Transport (AASTMT), Montaza 2, Alexandria 21532, Egypt
Ayman Elsharkawy: Department of Mathematics, Faculty of Science, Tanta University, Tanta 31511, Egypt

Mathematics, 2022, vol. 10, issue 21, 1-10

Abstract: Equiform geometry is considered an extension of other geometries. Furthermore, an equiform frame is a generalization of the Frenet frame. In this study, we begin by defining the term “equiform parameter (EQP)”, “equiform frame”, and “equiform formulas (EQF)” in regard to the Minkowski three-space. Second, we define spacelike normal curves (SPN) in Minkowski three-space and present a variety of descriptions of these curves with equiform spacelike (EQS) or equiform timelike (EQN) principal normals in Minkowski three-space. Third, we discuss the implications of these findings. Finally, an example is given to illustrate our theoretical results.

Keywords: Minkowski three-space; equiform frame; equiform equations; equiform curvatures; equiform normal curves (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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