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

Year 2019, Volume: 68 Issue: 1, 362 - 370, 01.02.2019
https://doi.org/10.31801/cfsuasmas.421122

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.

References

  • Oren, I., On invariants of m-vector in Lorentzian geometry, International Electronic Journal of Geometry, vol. 9, no. 1, (2016), pp. 38-44.
  • Khadjiev, D., Complete systems of differential invariants of vector fields in a Euclidean space, Turk J. Math., vol. 34, (2010), pp. 543--559.
  • Khadjiev D. and Göksal, Y., Application of hyperbolic numbers to the invariant theory in two- dimensional pseudo-euclidean space, Adv. Appl. Clifford Algebras, 2015.
  • Sağıroğlu Y. and Pekşen, O., The equivalence of centro-equiaffine curves, Turk J Math, vol. 34, (2010), pp. 95-104.
  • Sağıroğlu, Y., The equivalence problem for parametric curves in one-dimensional affine space, International Mathematical Forum, vol. 6, no. 4, (2011), pp. 177--184.
  • Pekşen O. and Khadjiev, D., On invariants of null curves in the pseudo-euclidean geometry, Differetial Geometry and its Applications, (2011).
  • Oren, I., Equivalence conditions of two Bezier curves in the euclidean geometry, Iran J Sci. Technol. Trans Sci, (2016).
  • 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.
  • Sibirskii, K. S., Algebraic Invariants of Differential Equations And Matrices. Stiintsa: Kishinev, [Russian] 1976.
Year 2019, Volume: 68 Issue: 1, 362 - 370, 01.02.2019
https://doi.org/10.31801/cfsuasmas.421122

Abstract

References

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

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Review Articles
Authors

Hüsnü Anıl Çoban 0000-0001-8175-4960

Publication Date February 1, 2019
Submission Date June 4, 2017
Acceptance Date January 5, 2018
Published in Issue Year 2019 Volume: 68 Issue: 1

Cite

APA 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, 68(1), 362-370. https://doi.org/10.31801/cfsuasmas.421122
AMA Çoban HA. Complete system of invariants of vectors for isometry group in n-dımensional unitary space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2019;68(1):362-370. doi:10.31801/cfsuasmas.421122
Chicago Çoban, Hüsnü Anıl. “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 68, no. 1 (February 2019): 362-70. https://doi.org/10.31801/cfsuasmas.421122.
EndNote Çoban HA (February 1, 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 68 1 362–370.
IEEE H. A. Çoban, “Complete system of invariants of vectors for isometry group in n-dımensional unitary space”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 362–370, 2019, doi: 10.31801/cfsuasmas.421122.
ISNAD Çoban, Hüsnü Anıl. “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 68/1 (February 2019), 362-370. https://doi.org/10.31801/cfsuasmas.421122.
JAMA Çoban HA. Complete system of invariants of vectors for isometry group in n-dımensional unitary space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:362–370.
MLA Çoban, Hüsnü Anıl. “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, vol. 68, no. 1, 2019, pp. 362-70, doi:10.31801/cfsuasmas.421122.
Vancouver Çoban HA. Complete system of invariants of vectors for isometry group in n-dımensional unitary space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):362-70.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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