• Corpus ID: 119323395

Minimal and Hamiltonian-minimal submanifolds in toric geometry

@article{Kotelskiy2013MinimalAH,
  title={Minimal and Hamiltonian-minimal submanifolds in toric geometry},
  author={Artem Kotelskiy},
  journal={arXiv: Symplectic Geometry},
  year={2013}
}
In this paper we investigate a family of Hamiltonian-minimal Lagrangian submanifolds in ${\mathbb C}^m$, ${\mathbb C}P^m$ and other symplectic toric manifolds constructed from intersections of real quadrics. In particular, we explain the nature of this phenomenon by proving H-minimality in a more conceptual way, and prove minimality of the same submanifolds in the corresponding moment-angle manifolds. 
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