Abstract
We find the characterization of maximum dimensional proper-biharmonic integral $\mathcal{C}$-parallel submanifolds of a Sasakian space form and then we classify such submanifolds in a 7-dimensional Sasakian space form. Working in the sphere $\boldsymbol{S}^7$ we explicitly find all 3-dimensional proper-biharmonic integral $\mathcal{C}$-parallel submanifolds. We also determine the proper-biharmonic parallel Lagrangian submanifolds of $\boldsymbol{C}P^3$.
Citation
Dorel Fetcu. Cezar Oniciuc. "Biharmonic integral $\mathcal{C}$-parallel submanifolds in 7-dimensional Sasakian space forms." Tohoku Math. J. (2) 64 (2) 195 - 222, 2012. https://doi.org/10.2748/tmj/1341249371
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