Nonstandard Lagrangian Submanifolds in CP^n

River Chiang

Nonstandard Lagrangian Submanifolds in CP^n

Symplectic Geometry 2007-05-23 v1 Differential Geometry

Authors: River Chiang

Abstract

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 $\CP^{n^2-1}$ .

Keywords

lagrangian submanifolds

Cite

@article{arxiv.math/0303262,
  title  = {Nonstandard Lagrangian Submanifolds in CP^n},
  author = {River Chiang},
  journal= {arXiv preprint arXiv:math/0303262},
  year   = {2007}
}

Comments

4 pages

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