Biharmonic S-Curves According to Sabban Frame in Heisenberg Group Heis3



Document title: Biharmonic S-Curves According to Sabban Frame in Heisenberg Group Heis3
Journal: Boletim da Sociedade Paranaense de Matematica
Database: PERIÓDICA
System number: 000365654
ISSN: 0037-8712
Authors: 1
1
Institutions: 1Firat University, Department of Mathematics, Elazig. Turquía
Year:
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
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