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

Keywords: Biharmonic curve, type-2 Bishop frame, Heisenberg group

Abstract

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.

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Published

2014-09-11

Issue

Vol 32 No 2 (2014)

Section

Articles

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