Dergiler / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2026 / Volume: 36 Issue: 2

DIFFERENTIAL INVARIANTS FOR A CURVE FAMILY IN

Yasemin Sağıroğlı(KARADENIZ TECHNICAL UNIVERSITY)0000-0003-0660-211X
Uğur Gözütok(KARADENIZ TECHNICAL UNIVERSITY)0000-0002-6072-3134
Sayfa
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Yayın Tarihi
2018-06-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Using these generators, we give a solution to the problem.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we obtain generators of differential invariants for a curve family in .
📊
Temel Bulgular & Veri:Then we define equivalence of the curve families and develop a point of view for equivalence problem.
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Sonuç & Katkı:Using these generators, we give a solution to the problem.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Affine differential geometry · affine differential invariants · affine equivalence.

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.

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Bu Makaleye Atıf Yap

Sağıroğlı, Y., Gözütok, U. (2018). DIFFERENTIAL INVARIANTS FOR A CURVE FAMILY IN. Sigma Mühendislik ve Fen Bilimleri Dergisi, Volume: 36 Issue: 2. https://ajindex.com/articles/1345087

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Kaynakça (19)

  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.
  9. Yu, Y., Yang, Y., Liu, H., Centro-Affine Ruled Surfaces in, J.Math. Anal.Appl., 365 (2010), 683–693.
  10. Sağıroğlu, Y., Centro-Equiaffine Differential Invariants of Curve Families, IEJG, 9 (2016), 23–29.
  11. Sağıroğlu, Y., Equi-Afiine Differential Invariants of a Pair of Curves, TWMS J.Pure.Appl.Math., 6 (2015), 238–245.
  12. Sağıroğlu, Y., Affine Differential Invariants of Curves, The Equivalence of Parametric Curves in Terms of Invariants LAP Lambert Academic Publishing, 2012.
  13. Schirokow, P.A., Schirokow, A.P., Affine Differentialgeometrie, Teubner, 1962.
  14. Simon, U., Recent Developments in Affine Differential Geometry, Dif.Geom. Appl., Proc.Conf.Dubrovnik, Yugosl., 1988 (1989), 327–347.
  15. Simon, U., Liu, H., Magid, M., Scharlach, Ch., Recent Developments in Affine Differential Geometry In: Geometry and Topology of Submanifolds VIII, World Scientific, Singapore, (1966), 1–15, 293–408.
  16. Gardner, R.B., Wilkens, G.R., The Fundamental Theorems of Curves and Hypersurfaces in Centro-Affine Geometry, Bull.Belg.Math.Soc., 4 (1997), 379–401.
  17. Sağıroğlu, Y., Pekşen, Ö., The Equivalence of Equi-Affine Curves, Turk.J.Math., 34 (2010), 95–104.
  18. Yang, Y., Yu, Y., Liu, H., Centro-Affine Geometry of Equi-Affine Rotation Surfaces in, J.Math.Anal.Appl., 414 (2014), 46–60.
  19. Yu, Y., Yang, Y., Liu, H., Centro-Affine Ruled Surfaces in, J.Math. Anal.Appl., 365 (2010), 683–693.