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MINKOWSKI 3-UZAYINDA TİMELİKE EĞRİNİN BİSHOP ÇATISI

BISHOP FRAME OF THE TIMELIKE CURVE IN MINKOWSKI 3-SPACE

Journal Name:

  • Süleyman Demirel Üniversitesi Fen Dergisi

Publication Year:

  • 2008

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
In this study, we study the result which are obtained by BISHOP (1975) for a timelike curve in Minkowski 3-Space.In addition , the Darboux vector(matrix) for the timelike curve is found. Furthermore, using the derivative of the tangent vector T of the timelike curve, the relations between the curvature funtions K, T and k1, k2 are found.
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Abstract (Original Language): 
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 K, T ve kj, k2 eğrilik fonksiyonları arasındaki ilişkiler bulundu.
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  • 1
80-90
  • Turkish

REFERENCES

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.

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