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arxiv: math/0701156 · v1 · submitted 2007-01-05 · 🧮 math.DG

Explicit formulas for biharmonic submanifolds in non-Euclidean 3-spheres

classification 🧮 math.DG
keywords biharmoniccurvescylindersdefineddimensionalendowedequationsexplicit
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We obtain the parametric equations of all biharmonic Legendre curves and Hopf cylinders in the 3-dimensional unit sphere endowed with the modified Sasakian structure defined by Tanno.

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