On a Lower Bound for the Energy Functional on a Family of Hamiltonian Minimal Lagrangian Tori in ℂP2
- Authors: Kazhymurat A.A.1
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Affiliations:
- Nazarbayev Intellectual School of Physics and Mathematics
- Issue: Vol 59, No 4 (2018)
- Pages: 641-647
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/171955
- DOI: https://doi.org/10.1134/S0037446618040067
- ID: 171955
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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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About the authors
A. A. Kazhymurat
Nazarbayev Intellectual School of Physics and Mathematics
Author for correspondence.
Email: akkazhymurat@gmail.com
Kazakhstan, Almaty
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