Pseudo-symmetries of generalized Wintgen ideal Lagrangian submanifolds

Abstract

© 2018, Mathematical Institute of the Serbian Academy of Sciences and Arts. Mihai obtained the Wintgen inequality, also known as the general- ized Wintgen inequality, for Lagrangian submanifolds in complex space forms and also characterized the corresponding equality case. SubmanifoldsM which satisfy the equality in these optimal general inequalities are called generalized Wintgen ideal submanifolds in the ambient space M. For generalized Wintgen ideal Lagrangian submanifolds Mn in complex space forms M n(4c), we will show some properties concerning different kinds of their pseudosymmetry in the sense of Deszcz.