Explicit formulas for biharmonic submanifolds in Sasakian space forms

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dc.creatorFetcu, D.
dc.creatorOniciuc, C.
dc.date2007-06-28
dc.date.accessioned2026-07-07T08:12:50Z
dc.date.available2026-07-07T08:12:50Z
dc.descriptionWe classify the biharmonic Legendre curves in a Sasakian space form, and obtain their explicit parametric equations in the $(2n+1)$-dimensional unit sphere endowed with the canonical and deformed Sasakian structures defined by Tanno. Then, composing with the flow of the Reeb vector field, we transform a biharmonic integral submanifold into a biharmonic anti-invariant submanifold. Using this method we obtain new examples of biharmonic submanifolds in spheres and, in particular, in $\mathbb{S}^{7}$.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0706.4160
dc.identifierhttp://arxiv.org/abs/0706.4160
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132596
dc.subjectDifferential Geometry
dc.subject53C42, 53B25
dc.titleExplicit formulas for biharmonic submanifolds in Sasakian space forms
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