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

Year 2019, , 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, , 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

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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