Abstract
Every 3-dimensional Riemannian manifold with 4-dimensional isometry group admits a normal almost contact structure compatible to the metric. In this paper we study affine biharmonic curves in model spaces of Thurston geometry except Sol.
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Inoguchi, Ji., Lee, JE. Affine Biharmonic Curves in 3-Dimensional Homogeneous Geometries. Mediterr. J. Math. 10, 571–592 (2013). https://doi.org/10.1007/s00009-012-0195-3
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DOI: https://doi.org/10.1007/s00009-012-0195-3