Journals / International Electronic Journal of Geometry / 2016 / Cilt: 9 - Sayı: 1

Centro-Equiaffine Differential Invariants of Curve Families

Pages
23–29
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The generator set of all centro-equiaffine differential invariant rational functions field for arbitrary

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The generator set of all centro-equiaffine differential invariant rational functions field for arbitrary
📊
Key Findings & Data:The generator set of all centro-equiaffine differential invariant rational functions field for arbitrary
💡
Conclusion & Impact:The generator set of all centro-equiaffine differential invariant rational functions field for arbitrary
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Differential invariant · parametric curve · equivalence

Abstract

The generator set of all centro-equiaffine differential invariant rational functions field for arbitrary

🔖

Cite This Article

SAĞIROĞLU, Y. (2022). Centro-Equiaffine Differential Invariants of Curve Families. International Electronic Journal of Geometry, Cilt: 9 - Sayı: 1, 23–29. https://ajindex.com/articles/539708

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (19)

  1. Aripov, R.G., Khadziev, D., The Complete System of Global Differential and Integral Invariants of a Curve in Euclidean Geometry, 51 (2007),no.7, 1-14
  2. 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
  3. Giblin, J.P., Sapiro, G., Affine-invariant distances, envelopes and symmetry sets, Geometriae Dedicata, 71 (1998), 237-261
  4. Guggenheimer, H.W., Differential Geometry, McGraw-Hill, New York, 1963
  5. Hann C.E., Hickman, M.S., Projective Curvature and Integral Invariants, Acta Applicandae Mathematicae, 74 (2002), 177-193
  6. Izumiyma, S., Sano, T., Generic affine differential geometry of space curves, Proceedings of the Royal Society of Edinburgh, 128A (1998), 301-314
  7. Khadjiev, D., The Application of Invariant Theory to Differential Geometry of Curves, Fan Publ., Tashkent, 1988
  8. Khadjiev, D., Peks¸en, Ö., The complete system of global differential and integral invariants for equi-affine curves, Differential Geometry and It’s Applications, 20 (2004), 167-175
  9. Klingenberg W., A Course in Differential Geometry, Springer-Verlag, New York, 1978
  10. Looijenga, E.J.N., Invariants of quartic plane curves as automorphic forms, Contemporary Mathematics, 422 (2007), 107-120
  11. Mokhtarian, F., Abbasi, S., Affine Curvature Space Scale with Affine Length Parametrization, Pattern Analysis & Applications, 4 (2001), 1-8
  12. Nomizu, K., Sasaki, T., Affine Differential Geometry, Cambridge Univ. Pres., 1994
  13. Paukowitsch, H.P., Begleitfiguren und Invariantensystem Minimaler Differentiationsordnung von Kurven im Reellen n-dimensionalen Affinen Raum, Mh. Math., 85 (1978), no.2, 137-148
  14. Pekşen, Ö., Khadjiev, D., On invariants of curves in centro-affine geometry, J. Math. Kyoto Univ., 44 (2004), no.3, 603-613
  15. Sağıroğlu, Y., Global differential invariants of affine curves in R2, Far East Journal of Mathematical Sciences, 96 (2015), no.4, 497-515
  16. Sağıroğlu, Y., The equivalence of curves in SL(n, R) and its application to ruled surfaces, Appl. Math. Comput., 218 (2011), 1019-1024
  17. Schirokow, P.A., Schirokow, A.P., Affine Differential Geometrie, Teubner, Leipzig, 1962
  18. Su, B., Affine Differential Geometry, Science Press, Beijing, Gordon and Breach, New York, 1983
  19. Ünel, M., Wolovich, W.A., On the Construction of Complete Sets of Geometric Invariants for Algebraic Curves, Advances in Applied Mathematics, 24 (2000), 65