Idris ÖREN

8077

On Invariants ofm-Vector in Lorentzian Geometry

On Invariants ofm-Vector in Lorentzian Geometry

LetGbe the groupM (n, 1)generated by all pseudo-orthogonal transformations and translationsof Lorentzian spaceEn1orG = SM (n, 1)is the subgroup ofM (n, 1)generated by rotations andtranslations ofEn1. We describe the correlations between Gram determinantdetG(x1, . . . , xm)of thesystem{x1, . . . , xm}and the number of linearly independent null vectors in the system{x1, . . . , xm}.Using methods of invariant theory and these results, the system of generators of the polynomialring of allG-invariant polynomial functions of vectorsx, x2, . . . , xminEn1is obtained for groupsG = M (n, 1)andG = SM (n, 1).
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International Electronic Journal of Geometry-Cover
  • Yayın Aralığı: 2
  • Başlangıç: 2008
  • Yayıncı: Prof.Dr. H.Hilmi Hacısalioğlu
Arşiv
Sayıdaki Diğer Makaleler

H. R. Salimi MOGHADDAM

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On Invariants ofm-Vector in Lorentzian Geometry

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