Research Article
Year 2019,
Volume: 68 Issue: 1, 362 - 370, 01.02.2019
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
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Year 2019,
Volume: 68 Issue: 1, 362 - 370, 01.02.2019
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 | |
| 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
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
