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Special Lagrangian submanifolds in the complex sphere

Henri Anciaux — 2007

Annales de la faculté des sciences de Toulouse Mathématiques

We construct a family of Lagrangian submanifolds in the complex sphere which are foliated by ( n - 1 ) -dimensional spheres. Among them we find those which are special Lagrangian with respect to the Calabi-Yau structure induced by the Stenzel metric.

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