On the geometry of biharmonic submanifolds in Sasakian space forms
arXiv:0809.3093
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.
10 pages; Proposition 3.10 was improved; Contribution to the Proceedings of the 10-th International Conference on Geometry, Integrability and Quantization, Varna 2008, Bulgaria