On a lower bound for the energy functional on a family of Hamiltonian minimal Lagrangian tori in \(\mathbb{C}P^2\)
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Publication:1617980
DOI10.1134/S0037446618040067zbMath1402.58011arXiv1710.00322OpenAlexW2962847318MaRDI QIDQ1617980
Publication date: 13 November 2018
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.00322
Lagrangian submanifolds; Maslov index (53D12) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)
Cites Work
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- Volume minimization of Lagrangian submanifolds under Hamiltonian deformations
- The geometric complexity of special Lagrangian \(T^2\)-cones
- Examples of Hamiltonian stationary Lagrangian tori in \(\mathbb CP^2\)
- The Novikov-Veselov hierarchy of equations and integrable deformations of minimal Lagrangian tori in \({\mathbb C}P^2\)
- A Willmore functional for compact surfaces in the complex projective plane
- New examples of Hamilton-minimal and minimal Lagrangian manifolds in $ \mathbb C^n$ and $ \mathbb C\mathrm P^n$
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