Global Invariants of Paths and Curves in the Two-Dimensional Real Vector Space for Linear Similarity Groups Generated by Dual Numbers


ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.29, no.1, 2019 (SCI-Expanded) identifier identifier


Let . The present paper is devoted to solutions of problems of global G-equivalence of paths and curves in . Complete systems of global G-invariants of a path and a curve in are obtained. Existence and uniqueness theorems are given. Evident forms of a path and a curve with the given complete system of G-invariants are obtained.