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Closed conformal vector fields and Lagrangian submanifolds in complex space forms

Closed conformal vector fields and Lagrangian submanifolds in complex space forms

We study a wide family of Lagrangian submanifolds in non flat complex space forms that we will call pseudoumbilical because of their geometric properties. They are determined by admitting a closed and conformal vector field X such that X is a principal direction of the shape operator AJX , being …