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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 4, Pages 814–822
DOI: https://doi.org/10.17377/smzh.2018.59.406 (Mi smj3011) 		 
On a lower bound for the energy functional on a family of Hamiltonian minimal Lagrangian tori in $\mathbb CP^2$

A. A. Kazhymurat

Nazarbayev Intellectual School of Physics and Mathematics, Almaty, Kazakhstan
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DOI: https://doi.org/10.17377/smzh.2018.59.406
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.
Keywords: energy functional, Lagrangian tori, Schrödinger operator.
Received: 23.09.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 4, Pages 641–647
DOI: https://doi.org/10.1134/S0037446618040067
Bibliographic databases:
Document Type: Article
UDC: 514.154.4
MSC: 35R30
Language: Russian
Citation: A. A. Kazhymurat, “On a lower bound for the energy functional on a family of Hamiltonian minimal Lagrangian tori in $\mathbb CP^2$”, Sibirsk. Mat. Zh., 59:4 (2018), 814–822; Siberian Math. J., 59:4 (2018), 641–647
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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