Pedal curves of tangent surfaces of biharmonic b-general helices according to bishop frame in Heisenberg group Heis³

Talat Körpinar; Essin Turhan

doi:10.5269/bspm.v32i1.19180

Pedal curves of tangent surfaces of biharmonic b-general helices according to bishop frame in Heisenberg group Heis³

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

DOI: https://doi.org/10.5269/bspm.v32i1.19180

Keywords: Biharmonic curve, Bishop frame, Heisenberg group, Pedal curve

Abstract

In this paper, we study pedal curves of tangent surfaces of biharmonic B-general helices according to Bishop frame in the Heisenberg group Heis³. We give necessary and sufficient conditions for B-general helices to be biharmonic according to Bishop frame. We characterize this pedal curves in the Heisenberg group Heis³. Additionally, we illustrate our main theorem.

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Published

2014-01-29

Issue

Vol 32 No 1 (2014)

Section

Articles

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