DIFFERENTIAL INVARIANTS FOR A CURVE FAMILY IN

Yasemin Sağıroğlı; Uğur Gözütok

DIFFERENTIAL INVARIANTS FOR A CURVE FAMILY IN

Abstract

In this paper, we obtain generators of differential invariants for a curve family in . Then we define equivalence of the curve families and develop a point of view for equivalence problem. Using these generators, we give a solution to the problem.

Keywords

References

[1] Liu, H., Curves in Affine and Semi Euclidean Spaces, Results.Math, 65 (2014), 235–249.
[2] Giblin, P.J., Sano, T., Generic Equi-Centro-Affine Differential Geometry of Plane Curves, Topology Appl., 159 (2012), 476–483.
[3] Izumiya, S., Sano, T., Generic Affine Differential Geometry of Space Curves, Proceedings of the Royal Soc. of Edinburgh, 128A (1998), 301–314. Birkhäuser, 2000.
[4] Khadjiev, Dj., Pekşen, Ö., The Complete System of Global Differential and Integral Invariants for Equi-Affine Curves, Dif.Geom.Appl., 20 (2004), 167–175.
[5] Nadjafikhah, M., Affine Differential Invariants for Planar Curves, Balk.J.Geom. Appl., 7 (2002), 69–78.
[6] Olver, P.J., Moving Frames and Differential Invariants in Centro-Affine Geometry, Lobachevskii J.Math., 31 (2010), 77–89.
[7] Olver, P.J., Differential Invariants of Surfaces, Dif.Geom.Appl. 27 (2009), 230–239.
[8] Yang, Y., Yu, Y., Liu, H., Centro-Affine Geometry of Equi-Affine Rotation Surfaces in , J.Math.Anal.Appl., 414 (2014), 46–60.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Yasemin Sağıroğlı This is me
0000-0003-0660-211X
Türkiye

Uğur Gözütok This is me
0000-0002-6072-3134
Türkiye

Publication Date

June 1, 2018

Submission Date

August 17, 2017

Acceptance Date

January 9, 2018

Published in Issue

Year 2018 Volume: 36 Number: 2

IZ

https://izlik.org/JA47DR83UW

Cite

RIS / Bibtex

APA

Sağıroğlı, Y., & Gözütok, U. (2018). DIFFERENTIAL INVARIANTS FOR A CURVE FAMILY IN. Sigma Journal of Engineering and Natural Sciences, 36(2), 341-349. https://izlik.org/JA47DR83UW

AMA

1.Sağıroğlı Y, Gözütok U. DIFFERENTIAL INVARIANTS FOR A CURVE FAMILY IN. SIGMA. 2018;36(2):341-349. https://izlik.org/JA47DR83UW

Chicago

Sağıroğlı, Yasemin, and Uğur Gözütok. 2018. “DIFFERENTIAL INVARIANTS FOR A CURVE FAMILY IN”. Sigma Journal of Engineering and Natural Sciences 36 (2): 341-49. https://izlik.org/JA47DR83UW.

EndNote

Sağıroğlı Y, Gözütok U (June 1, 2018) DIFFERENTIAL INVARIANTS FOR A CURVE FAMILY IN. Sigma Journal of Engineering and Natural Sciences 36 2 341–349.

IEEE

[1]Y. Sağıroğlı and U. Gözütok, “DIFFERENTIAL INVARIANTS FOR A CURVE FAMILY IN”, SIGMA, vol. 36, no. 2, pp. 341–349, June 2018, [Online]. Available: https://izlik.org/JA47DR83UW

ISNAD

Sağıroğlı, Yasemin - Gözütok, Uğur. “DIFFERENTIAL INVARIANTS FOR A CURVE FAMILY IN”. Sigma Journal of Engineering and Natural Sciences 36/2 (June 1, 2018): 341-349. https://izlik.org/JA47DR83UW.

JAMA

1.Sağıroğlı Y, Gözütok U. DIFFERENTIAL INVARIANTS FOR A CURVE FAMILY IN. SIGMA. 2018;36:341–349.

MLA

Sağıroğlı, Yasemin, and Uğur Gözütok. “DIFFERENTIAL INVARIANTS FOR A CURVE FAMILY IN”. Sigma Journal of Engineering and Natural Sciences, vol. 36, no. 2, June 2018, pp. 341-9, https://izlik.org/JA47DR83UW.

Vancouver

1.Yasemin Sağıroğlı, Uğur Gözütok. DIFFERENTIAL INVARIANTS FOR A CURVE FAMILY IN. SIGMA [Internet]. 2018 Jun. 1;36(2):341-9. Available from: https://izlik.org/JA47DR83UW