372 research outputs found

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

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    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non-volume minimizing Lagrangian torus orbits of compact toric Kahler manifolds.Comment: This paper has been withdrawn, as it is now incorporated into arXiv:1512.0194
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