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arXiv 2008-09-18 0 views

On the geometry of biharmonic submanifolds in Sasakian space forms

Fetcu, D. · Oniciuc, C.

Original · EN

We classify all proper-biharmonic Legendre curves in a Sasakian space form and point out some of their geometric properties. Then we provide a method for constructing anti-invariant proper-biharmonic submanifolds in Sasakian space forms. Finally, using the Boothby-Wang fibration, we determine all proper-biharmonic Hopf cylinders over homogeneous real hypersurfaces in complex projective spaces.

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