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On a Lower Bound for the Energy Functional on a Family of Hamiltonian Minimal Lagrangian Tori in ℂP2

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Abstract

Under study is the energy functional on the set of Lagrangian tori in the complex projective plane. We prove that the value of the energy functional for a certain family of Hamiltonian minimal Lagrangian tori in the complex projective plane is strictly larger than for the Clifford torus.

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Authors and Affiliations

  1. Nazarbayev Intellectual School of Physics and Mathematics, Almaty, Kazakhstan

    A. A. Kazhymurat

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  1. A. A. Kazhymurat
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Correspondence to A. A. Kazhymurat.

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Almaty. Translated from Sibirskii Matematicheskii Zhurnal, vol. 59, no. 4, pp. 814–822, July–August, 2018; DOI: 10.17377/smzh.2018.59.406.

Original Russian Text © 2018 Kazhymurat A.A.

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Kazhymurat, A.A. On a Lower Bound for the Energy Functional on a Family of Hamiltonian Minimal Lagrangian Tori in ℂP2. Sib Math J 59, 641–647 (2018). https://doi.org/10.1134/S0037446618040067

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  • DOI: https://doi.org/10.1134/S0037446618040067

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