On the geometry of biharmonic submanifolds in Sasakian space forms

D. Fetcu; C. Oniciuc

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arXiv · 0809.3093

On the geometry of biharmonic submanifolds in Sasakian space forms

D. Fetcu·C. Oniciuc

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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 determine all proper-biharmonic Hopf cylinders over homogeneous real hypersurfaces in complex projective spaces.

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BibTeX RIS

D. Fetcu, C. Oniciuc. 2008-09-30. On the geometry of biharmonic submanifolds in Sasakian space forms. https://arxiv.org/abs/0809.3093

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