Journal: | Boletim da Sociedade Paranaense de Matematica |
Database: | PERIÓDICA |
System number: | 000365654 |
ISSN: | 0037-8712 |
Authors: | Körpinar, Talat1 Turhan, Essin1 |
Institutions: | 1Firat University, Department of Mathematics, Elazig. Turquía |
Year: | 2013 |
Volumen: | 31 |
Number: | 1 |
Pages: | 205-211 |
Country: | Brasil |
Language: | Inglés |
Document type: | Artículo |
Approach: | Experimental, analítico |
English abstract | In this paper, we study biharmonic curves accordig to Sabban frame in the Heisenberg group Heis3. We characterize the biharmonic curves in terms of their geodesic curvature and we prove that all of biharmonic curves are helices in the Heisenberg group Heis3. Finally, we find out their explicit parametric equations according to Sabban Frame |
Disciplines: | Matemáticas |
Keyword: | Matemáticas puras, Curvas biarmónicas, Grupo de Heisenberg, Curvatura, Torsión |
Keyword: | Mathematics, Pure mathematics, Biharmonic curves, Heisenberg group, Curvature, Torsion |
Full text: | Texto completo (Ver PDF) |