Nonstandard Lagrangian Submanifolds in CP^n

Mathematics – Symplectic Geometry

Scientific paper

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4 pages

Scientific paper

We use Hamiltonian actions to construct nonstandard (as opposed to $\RP^n$
and $T^n$) Lagrangian submanifolds of $\CP^n$. First of all, a quotient of
$\RP^3$ by the dihedral group $D_3$ is a Lagrangian submanifold of $\CP^3$.
Secondly, $\Su(n)/\Z_n$ are Lagrangian submanifolds of $\CP^{n^2-1}$.

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