Centro-Equiaffine Differential Invariants of Curve Families

Kaynakça (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