Biharmonic constant Π₁-slope curves according to type-2 bishop frame in Heisenberg group Heis³

Talat Körpinar; Essin Turhan

doi:10.5269/bspm.v32i2.19549

Biharmonic constant Π₁-slope curves according to type-2 bishop frame in Heisenberg group Heis³

Talat Körpinar Muş Alparslan University Department of Mathematics
Essin Turhan Fırat University Department of Mathematics

DOI: https://doi.org/10.5269/bspm.v32i2.19549

Résumé

In this paper, we introduce constant Π₁- slope curves according to type-2 Bishop frame in the Heisenberg group Heis³. We characterize the biharmonic constant Π₁- slope curves in terms of their Bishop curvatures. Finally, we find out their explicit parametric equations in the Heisenberg group Heis³. Additionally, we illustrate our main theorem.