Abstract
In this paper we discuss a certain method to construct a family of Lagrangian submanifolds in a complex projective space CP from a Lagrangian submanifold in a complex hyperquadric Qn(C). We use a family of homogeneous isoparametric hypersurfaces in the unit standard sphere associated to the Riemannian symmetric pair (SO(n+4), SO(2)×SO(n+2)) of rank 2.
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