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arXiv · 0911.3244

Biharmonic integral $\mathcal{C}$-parallel submanifolds in 7-dimensional Sasakian space forms

D. Fetcu·C. Oniciuc
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Abstract

We find the characterization of maximum dimensional proper-biharmonic integral $\mathcal{C}$-parallel submanifolds of a Sasakian space form and then classify such submanifolds in a 7-dimensional Sasakian space form. Working in the sphere $\mathbb{S}^7$ we explicitly find all 3-dimensional proper-biharmonic integral $C$-parallel submanifolds. We also determine the proper-biharmonic parallel Lagrangian submanifolds of $\mathbb{C}P^3$.

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BibTeXRIS

D. Fetcu, C. Oniciuc. 2009-11-17. Biharmonic integral $\mathcal{C}$-parallel submanifolds in 7-dimensional Sasakian space forms. https://arxiv.org/abs/0911.3244

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