Abstract

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 deter- mine all proper-biharmonic Hopf cylinders over homogeneous real hypersur- faces in complex projective spaces.

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