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Year 2005, Issue: 008, 235 - 244, 15.07.2005

B. Bükücü

Abstract

Abstract. In the space Rl3 , the matrix satisfying the StV = ¥ /\ tV is btained. So we can considered matrix insead of vector. By using this semi skew smymetric matrix, Cayley Formula is obtained in Rl3 , and so we have a semi orthogonal matrix. In Rl3 the vectors being chosen as a vector corresponding to the matrices of curvatures of a timelike curve, a semi orthogonal rotation matrix is obtained for a special case of this matrix. Also, it is shown that the semi orthogonal matrix in R? leaves the axis s invariant.

Keywords

Cayley Formula Lorentz Space Timelike curve

References

  • 1] B.O'Neill, Semi-Riemann Geometri, Akademic Pres, New York, (1983)
  • [2] N'Ekrnekci & K. Ilarslan, Higher Curvatures in Space, Jour. of Inst. of Math. and Compo Sci. (Math. Ser.) VoU1, (1998), no.2,97 -102.
  • [3] O.Bottema and B. Roth, Theoretical Kinematics, North Holland Pub!. Com., (1979)
  • [4] B.Bahaddin, Lorentz Uzaymda Cayley Formulu ve Uygulamalan, Doktora Tezi, Ankara Universitesi Fen Bilimleri Enstittisti, (2003)

EI3 de, CAYLEY FORMULU VE BAZI UYGULAMALARI

Year 2005, Issue: 008, 235 - 244, 15.07.2005

B. Bükücü

Abstract

RI3 uzayinda bir !! A !iJ = S.!iJ esitligiru gercekleyen semi antisimetrik matrisi elde edildi. Dolayisiyla, matris ile vektor eslenrnis oldu. Bu semi antisimetrik matristen yararlarularak, R? de Cayley forrnulu elde edildi. RI3 de, s vektoru (ekseni), bir timelike egrinin egrilikler matrisine karsihk gelen vektor ? secilerek, semi ortogonal matrisi bulundu. Bu matrisinin ozel durumu icin, R1- hiperbolik duzlerndeki, semi ortogonal donrne matrisi elde edildi. Aynca, RI3 deki semi ortogonal matrisin s eksenini invaryant biraktigi gosterildi.

Keywords

Cayley Forrnulu Lorentz Uzay Timelike curve

References

  • 1] B.O'Neill, Semi-Riemann Geometri, Akademic Pres, New York, (1983)
  • [2] N'Ekrnekci & K. Ilarslan, Higher Curvatures in Space, Jour. of Inst. of Math. and Compo Sci. (Math. Ser.) VoU1, (1998), no.2,97 -102.
  • [3] O.Bottema and B. Roth, Theoretical Kinematics, North Holland Pub!. Com., (1979)
  • [4] B.Bahaddin, Lorentz Uzaymda Cayley Formulu ve Uygulamalan, Doktora Tezi, Ankara Universitesi Fen Bilimleri Enstittisti, (2003)
There are 4 citations in total.

Details

Primary Language Turkish
Subjects Mathematical Sciences
Journal Section Articles
Authors

B. Bükücü This is me

Publication Date July 15, 2005
Published in Issue Year 2005 Issue: 008

Cite

APA Bükücü, B. (2005). EI3 de, CAYLEY FORMULU VE BAZI UYGULAMALARI. Journal of Science and Technology of Dumlupınar University(008), 235-244.
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