Tessarines And Homothetic Exponential Motions In 4-Dimensional Euclidean Space
Yükleniyor...
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Beykent Üniversitesi
Erişim Hakkı
Özet
This paper is a detailed study on homothetic exponential motions by considering tessarines. To do this, we introduce a matrix by using tessarines product and addition rules and give a variety of algebraic properties of this matrix in four dimensional Euclidean space E?. Then, the exponential motion is proven to be homothetic exponential motion. This process allows us to define some theorems about velocities, pole points, and pole curves. Finally, It is found that at every t-instant an exponential motion defined by the regular curve of order n and derivations curves on the hypersurface M has only one acceleration center of order (n ? 1).
Açıklama
Anahtar Kelimeler
Tessarines, Homothetic exponential motion, Hypersurface, Regular curve
Kaynak
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Sayı 10(1) 2017, 1 – 13
