Generating systems of differential invariants and the theorem on existence for curves in the pseudo-Euclidean geometry}

Authors : Djavvat KHADJIEV, İdris ÖREN, Ömer PEKŞEN

Pages : 80-94

Doi:10.3906/mat-1104-41

View : 14 | Download : 4

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :Let Minsert ignore into journalissuearticles values(n, p); be the group of all motions of an n-dimensional pseudo-Euclidean space of index p. It is proved that the complete system of Minsert ignore into journalissuearticles values(n,p);-invariant differential rational functions of a path insert ignore into journalissuearticles values(curve); is a generating system of the differential field of all Minsert ignore into journalissuearticles values(n,p);-invariant differential rational functions of a path insert ignore into journalissuearticles values(curve);, respectively. A fundamental system of relations between elements of the complete system of Minsert ignore into journalissuearticles values(n,p);-invariant differential rational functions of a path insert ignore into journalissuearticles values(curve); is described.
Keywords : Key words Curve, differential invariant, pseudo Euclidean geometry, Minkowski geometry