On a lower bound for the energy functional on a family of Hamiltonian minimal Lagrangian tori in $\mathbb{C}{P}^2$

Abstract

We study the energy functional on the set of Lagrangian tori in $\mathbb{C}{P}^2$ . We prove that the value of the energy functional on a certain family of Hamiltonian minimal Lagrangian tori in $\mathbb{C}{P}^2$ is strictly larger than energy of the Clifford torus.

9 pages, submitted to Sib. Math. J

References in corpus (3)

• The Novikov-Veselov hierarchy of equations and integrable deformations of minimal Lagrangian tori in CP^2
• Some estimates related to Oh's conjecture for the Clifford tori in CP^n
• Energy functional for Lagrangian tori in $\mathbb{C}{P}^2$