Lagrangian submanifolds in complex projective space CPⁿ

Abstract

We first prove a basic theorem with respect to the moving frame along a Lagrangian immersion into the complex projective space CPⁿ. Applying this theorem, we study the rigidity problem of Lagrangian submanifolds in CPⁿ.

Keywords

Lagrangian submanifold / second fundamental form / Maurer-Cartan form

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