[1] Karadeniz Tech Univ, Dept Math, Trabzon, Turkey
来源:
TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS
|
2015年
/
6卷
/
02期
关键词:
differential invariant;
equi-affine group;
equivalence of curves;
D O I:
暂无
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
Let G = SAf f (n, R) be the group of all transformations in R-n as F (x) = gx + b such that g is an element of SL(n, R) and b is an element of R-n The system of generators for the differential algebra of all G-invariant differential polynomials of a pair of curves is found for the group SAf f (n, R). The conditions for G-equivalence of a pair of curves is obtained.