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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 Research Article
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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