Abstract

We give a characterization of those Legendrian submanifolds of S 2n+1 which are foliated by (n 1)-dimensional spheres. We show that the only minimal submanifolds in this class are the totally geodesic n-spheres and a one-parameter family of SO(n)-equivariant submanifolds which are described in terms of some spherical curves. We deduce the existence of a countable family of closed Lagrangian minimal submanifolds in CP n :

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