On a lower bound for the energy functional on a family of Hamiltonian minimal Lagrangian tori in ℂP²

2017/10/01 by Kazhymurat, A. A.
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1710.00322

Abstract

We study the energy functional on the set of Lagrangian tori in ℂP² . We prove that the value of the energy functional on a certain family of Hamiltonian minimal Lagrangian tori in ℂP² is strictly larger than energy of the Clifford torus.

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• Energy functional for Lagrangian tori in ℂP²
• Spectral data for Hamiltonian-minimal Lagrangian tori in CP²
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• Almost all standard Lagrangian tori in Cⁿ are not Hamiltonian volume minimizing