On the geometry of biharmonic submanifolds in Sasakian space forms

Details On the geometry of biharmonic submanifolds in Sasakian space forms On the geometry of biharmonic submanifolds in Sasakian space forms

2008-09-18

arxiv.org/abs/0809.3093v2

Mathematics

Differential Geometry

10 pages; Proposition 3.10 was improved; Contribution to the Proceedings of the 10-th International Conference on Geometry, In

Scientific paper

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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