b-Smarandache tm₂ curves of biharmonic new type b-slant helices according to Bishop frame in the Sol space Sol³

Talat Körpinar; Essin Turhan

doi:10.5269/bspm.v31i2.18273

b-Smarandache tm₂ curves of biharmonic new type b-slant helices according to Bishop frame in the Sol space Sol³

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

DOI: https://doi.org/10.5269/bspm.v31i2.18273

Résumé

In this paper, we study b-Smarandache tm₂ curves of biharmonic new type b-slant helix in the Sol³. We characterize the b-Smarandache tm₂ curves in terms of their Bishop curvatures. Finally, we find out their explicit parametric equations in the Sol³.