Minimal and Hamiltonian-minimal submanifolds in toric geometry

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.

Updated to the published version

References in corpus (1)

• Hamiltonian minimal Lagrangian submanifolds in toric varieties

Cited by in corpus (2)

• Products and connected sums of spheres as monotone Lagrangian submanifolds
• Zoo of monotone Lagrangians in $\mathbb{C}{P}^n$