Generalized Spacelike Normal Curves in Minkowski Three-Space

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. S...

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Bibliographic Details
Published inMathematics (Basel) Vol. 10; no. 21; p. 4145
Main Authors Tashkandy, Yusra, Emam, Walid, Cesarano, Clemente, Abd El-Raouf, M. M., Elsharkawy, Ayman
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.11.2022
Subjects
Analysis
Curves
equiform curvatures
equiform equations
equiform frame
equiform normal curves
Euclidean space
Gaussian distribution
Geometry
Mathematicians
Minkowski three-space
Space and time
Egypt
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10214145