A note on biharmonic curves in Sasakian space forms

TL;DR

This paper classifies specific biharmonic curves in Sasakian space forms with constant angle conditions and provides explicit examples in a standard space, advancing understanding of biharmonic geometry in contact metric manifolds.

Contribution

It offers a classification of biharmonic non-Legendre curves with constant angle in Sasakian space forms and constructs explicit examples in Euclidean space.

Findings

Classification of biharmonic non-Legendre curves with constant angle

Explicit examples in ^{2n+1}(-3)

Enhanced understanding of biharmonic curves in Sasakian geometry

Abstract

We classify the biharmonic non-Legendre curves in a Sasakian space form for which the angle between the tangent vector field and the characteristic vector field is constant and obtain explicit examples of such curves in $\mathbb{R}^{2n+1}(-3)$.