The equivalence of centro-equiaffine curves

Authors : Yasemin SAĞIROĞLU, Ömer PEKŞEN

Pages : 95-104

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :The motivation of this paper is to find formulation of the SLinsert ignore into journalissuearticles values(n,R);-equivalence of curves. The types for centro-equiaffine curves and for every type all invariant parametrizations for such curves are introduced. The problem of SLinsert ignore into journalissuearticles values(n,R);-equivalence of centro-equiaffine curves is reduced to that of paths. The centro-equiaffine curvatures of path as a generating system of the differential ring of SLinsert ignore into journalissuearticles values(n,R);-invariant differential polinomial functions of path are found. Global conditions of SLinsert ignore into journalissuearticles values(n,R);-equivalence of curves are given in terms of the types and invariants. It is proved that the invariants are independent.
Keywords : Centro equiaffine geometry, centro equiaffine type of a curve, differential invariants of a curve, centro equiaffine equivalence of curves