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RIEMANNIAN GEOMETRY OF LAGRANGIAN SUBMANIFOLDS

RIEMANNIAN GEOMETRY OF LAGRANGIAN SUBMANIFOLDS

The study of Lagrangian submanifolds in K¨ahler manifolds and in the nearly K¨ahler six-sphere has been a very active field over the last quarter of century. In this article we survey the main results done during that period from Riemannian geometric point of view.