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arXiv · 1307.8140

Minimal and Hamiltonian-minimal submanifolds in toric geometry

Artem Kotelskiy
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Abstract

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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Artem Kotelskiy. 2017-02-14. Minimal and Hamiltonian-minimal submanifolds in toric geometry. https://arxiv.org/abs/1307.8140

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