According to F. Klein, Geometry is the study of invariant properties of figures, i.e., properties unchanged under all motions. In this article, we introduce 4-dimensional pseudo-Galilean transformations. Moreover, we study invariant properties under translation, shear and Minkowskian rotation motions. We have computed Frenet-Serret formulas of a curve and also we have found the fundamental theorem of curve theory in 4-dimensional pseudo-Galilean geometry.
Pseudo-Galilean Space Frenet-Serret frame Fundemantal theorem
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Natural Sciences |
Yazarlar | |
Yayımlanma Tarihi | 29 Aralık 2021 |
Gönderilme Tarihi | 28 Aralık 2020 |
Kabul Tarihi | 15 Kasım 2021 |
Yayımlandığı Sayı | Yıl 2021Cilt: 42 Sayı: 4 |