Research Article

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

Volume: 68 Number: 1 February 1, 2019
EN

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

Keywords

References

  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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

February 1, 2019

Submission Date

June 4, 2017

Acceptance Date

January 5, 2018

Published in Issue

Year 2019 Volume: 68 Number: 1

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
1.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):362-370. doi:10.31801/cfsuasmas.421122
Chicago
Çoban, Hüsnü Anıl. 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): 362-70. 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
[1]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, Feb. 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 1, 2019): 362-370. https://doi.org/10.31801/cfsuasmas.421122.
JAMA
1.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, Feb. 2019, pp. 362-70, doi:10.31801/cfsuasmas.421122.
Vancouver
1.Hüsnü Anıl Çoban. Complete system of invariants of vectors for isometry group in n-dımensional unitary space. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Feb. 1;68(1):362-70. doi:10.31801/cfsuasmas.421122

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

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.