Multiplikatif Jeodeziklerin Geometrisi

Öz

Bu makalede R_*^n multiplikatif Öklid uzayın ve bu uzayda bulunan bazı multiplikatif yüzeylerin jeodezikleri araştırıldı. İlk olarak R_*^n uzayının jeodezikleri elde edildi. R_*^n uzayında multiplikatif silindirler ve multiplikatif koniler üzerindeki multiplikatif jeodezikler sınıflandırıldı. Son olarak multiplikatif helis yüzeyleri tanımlanıp multiplikatif jeodezikleri karakterize edildi.

Anahtar Kelimeler

• Multiplikatif Öklid uzayı
• multiplikatif silindir
• multiplikatif koni
• multiplikatif helis yüzeyi

Geometry of Multiplicative Geodesics

Öz

In this paper, the geodesics of the multiplicative Euclidean space R_*^n and some multiplicative surfaces in this space are investigated. First, the geodesics of the space R_*^n are obtained. The multiplicative geodesics on multiplicative cylinders and multiplicative cones in R_*^n are classified. Finally, multiplicative helix surfaces are defined, and their multiplicative geodesics are characterized.

Anahtar Kelimeler

• Multiplicative Euclidean space
• multiplicative cylinder
• multiplicative cone
• multiplicative helix surface

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