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, Scopus)
- Publication Type: Article / Article
- Volume: 29 Issue: 1
- Publication Date: 2019
- Doi Number: 10.1007/s00006-018-0929-9
- Journal Name: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Karadeniz Technical University Affiliated: Yes
Abstract
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.