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arXiv · 1408.5576

Almost all standard Lagrangian tori in C^n are not Hamiltonian volume minimizing

Hiroshi Iriyeh·Hajime Ono
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Abstract

In 1993, Y.-G. Oh proposed a problem whether standard Lagrangian tori in C^n are volume minimizing under Hamiltonian isotopies of C^n. In this article, we prove that most of them do not have such property if the dimension n is greater than two. We also discuss the existence of Hamiltonian non-volume minimizing Lagrangian torus orbits of compact toric Kahler manifolds.

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Hiroshi Iriyeh, Hajime Ono. 2014-08-24. Almost all standard Lagrangian tori in C^n are not Hamiltonian volume minimizing. https://arxiv.org/abs/1408.5576

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