Abstract
Biz bu çalışmada, BISHOP (1975) tarafından elde edilen sonucu, Minkowski 3-
uzayında timelike eğriler için çalıştık. İlaveten, timelike eğriler için Darboux
vectörü(matrisi) bulundu. Ayrıca, timelike eğrinin T teğet vektörünün türevi kullanılarak
κ,τ ve 1 2 k , k eğrilik fonksiyonları arasındaki ilişkiler bulundu.
Keywords
Bishop Frame Natural Frenet Frame Fermi-Walker Frame (RPAF) Timelike Curve Minkowski 3-Space
References
- BISHOP LR, 1975.There is More Than One Way to Frame a Curve, The American Mathematical Monthly, 82, 246-251.
- KARACAN MK, 2004. Kinematic Applications of Two Parameter Motions. PhD Thesis, Ankara University Graduate School and Natural Sciences.
- O’NEILL B,1996. Elemantary Differential Geometry, Academic Press, Newyork.
- PETROVIC-TORGASEV M, SUCUROVIC E, 2001. Some Characterizations of The Lorentzian Spherical Timelike and Null Curves, Matematiqki Vesnik, 53, 21-27.
- YUCE S, KURUOGLU N, 2006. On Polar Moments of Inertia of Lorentzian Circles, Journal of Applied Sciences, 6, 383-386.
Abstract
References
- BISHOP LR, 1975.There is More Than One Way to Frame a Curve, The American Mathematical Monthly, 82, 246-251.
- KARACAN MK, 2004. Kinematic Applications of Two Parameter Motions. PhD Thesis, Ankara University Graduate School and Natural Sciences.
- O’NEILL B,1996. Elemantary Differential Geometry, Academic Press, Newyork.
- PETROVIC-TORGASEV M, SUCUROVIC E, 2001. Some Characterizations of The Lorentzian Spherical Timelike and Null Curves, Matematiqki Vesnik, 53, 21-27.
- YUCE S, KURUOGLU N, 2006. On Polar Moments of Inertia of Lorentzian Circles, Journal of Applied Sciences, 6, 383-386.
Details
| Primary Language | English |
|---|---|
| Journal Section | Makaleler |
| Authors | |
| Publication Date | June 1, 2008 |
| Published in Issue | Year 2008 Volume: 3 Issue: 1 |