Abstract
In [7] Oprea gave an improved version of Chen's inequality for Lagrangian submanifolds of $\mathbb CP^n(4)$. For minimal submanifolds this inequality coincides with a previous version proved in [5]. We consider here those non-minimal $3$-dimensional Lagrangian submanifolds in $\mathbb CP^3 (4)$ attaining at all points equality in the improved Chen inequality. We show how all such submanifolds may be obtained starting from a minimal Lagrangian surface in $\mathbb CP^2(4)$.
Citation
J. Bolton. L. Vrancken. "Lagrangian submanifolds attaining equality in the improved Chen's inequality." Bull. Belg. Math. Soc. Simon Stevin 14 (2) 311 - 315, June 2007. https://doi.org/10.36045/bbms/1179839222
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