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Pseudo-Symmetries of Generalized Wintgen Ideal Lagrangian Submanifolds

Miroslava Petrović-Torgašev, Anica Pantić

Faculty of Science, Institute of Mathematics and Informatics, Kragujevac, Serbia

Abstract: Mihai obtained the Wintgen inequality, also known as the generalized Wintgen inequality, for Lagrangian submanifolds in complex space forms and also characterized the corresponding equality case. Submanifolds M 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 M n in complex space forms M ˜ n (4c), we will show some properties concerning different kinds of their pseudosymmetry in the sense of Deszcz.

Keywords: generalized Wintgen ideal submanifold, pseudosymmetric space, Lagrangian submanifold, complex space form

Classification (MSC2000): 53C40; 53C25

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Electronic fulltext finalized on: 26 Apr 2018. This page was last modified: 11 Mai 2018.

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