2010/08/11 by Serge Degla, S. Degla, Degla, S. +3
Mathematics · #31A30 #53D10 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #msc:31A30 #msc:53D10
paper · pdf · doi:10.48550/arxiv.1008.1903
arxiv created 2010/08/11 · openalex publication_date 2010/08/11 · arxiv updated 2010/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Sasakian manifolds provide explicit formulae of some Jacobi operators which describe the biharmonic equation of curves in Riemannian manifolds. In this paper we characterize non-geodesic biharmonic curves in Sasakian manifolds which are either tangent or normal to the Reeb vector field. In the three-dimensional case, we prove that such curves are some helixes whose geodesic curvature and geodesic torsion satisfy a given relation.