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In this paper, we obtain the generalized Wintgen inequality, also known as the DDVV inequality, in the case of a Lagrangian submanifold in quaternionic space forms. We also give a proof for the DDVV inequality in the case of slant submanifolds of a quaternionic space form. Mathematics subject classification (2010): 53C40, 53C25.

Generalized Wintgen inequality for Lagrangian submanifolds in quaternionic space forms