Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 68 Issue: 1

Complete system of invariants of vectors for isometry group in n-dımensional unitary space

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Yayın Tarihi
2019-02-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The complete system of invariants of vectors for isometry group in n-dimensional unitary space is obtained and it is shown that this complete system is a minimal complete system.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, invariants of vector systems for isometry group are investigated.
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Temel Bulgular & Veri:In this study, invariants of vector systems for isometry group are investigated.
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Sonuç & Katkı:The complete system of invariants of vectors for isometry group in n-dimensional unitary space is obtained and it is shown that this complete system is a minimal complete system.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Invariant theory · isometry group · unitary space

Abstract

In this study, invariants of vector systems for isometry group are investigated. The complete system of invariants of vectors for isometry group in n-dimensional unitary space is obtained and it is shown that this complete system is a minimal complete system.

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Bu Makaleye Atıf Yap

Çoban, H. A. (2019). Complete system of invariants of vectors for isometry group in n-dımensional unitary space. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 1. https://doi.org/10.31801/cfsuasmas.421122

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Kaynakça (9)

  1. Oren, I., On invariants of m-vector in Lorentzian geometry, International Electronic Journal of Geometry, vol. 9, no. 1, (2016), pp. 38-44.
  2. Khadjiev, D., Complete systems of differential invariants of vector fields in a Euclidean space, Turk J. Math., vol. 34, (2010), pp. 543--559.
  3. Khadjiev D. and Göksal, Y., Application of hyperbolic numbers to the invariant theory in two- dimensional pseudo-euclidean space, Adv. Appl. Clifford Algebras, 2015.
  4. Sağıroğlu Y. and Pekşen, O., The equivalence of centro-equiaffine curves, Turk J Math, vol. 34, (2010), pp. 95-104.
  5. Sağıroğlu, Y., The equivalence problem for parametric curves in one-dimensional affine space, International Mathematical Forum, vol. 6, no. 4, (2011), pp. 177--184.
  6. Pekşen O. and Khadjiev, D., On invariants of null curves in the pseudo-euclidean geometry, Differetial Geometry and its Applications, (2011).
  7. Oren, I., Equivalence conditions of two Bezier curves in the euclidean geometry, Iran J Sci. Technol. Trans Sci, (2016).
  8. Oren, I., The equivalence problem for vectors in the two-dimensional minkowski spacetime and its application to Bezier curves, J. Math. Comput. Sci., vol. 6, no. 1, (2016), pp. 1-21.
  9. Sibirskii, K. S., Algebraic Invariants of Differential Equations And Matrices. Stiintsa: Kishinev, [Russian] 1976.