Abstract
For the equi-affine group ε( n) of transformations of R n , definitions of an ε( n)-equivalence of curves and an equi-affine type of a curve are introduced. The ε( n)-equivalence of curves is reduced to the problem of the ε( n)-equivalence of paths. A generating system of the differential ring of ε( n)-invariant differential polynomial functions of curves is described. Global conditions of the ε( n)-equivalence of curves are given in terms of the equi-affine type of a curve and the generating differential invariants. An independence of the generating differential invariants is proved.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
