On a lower bound for the energy functional on a family of Hamiltonian minimal Lagrangian tori in CP^2

Published in Siberian Mathematical Journal, 2018

Kazhymurat, A.A. Sib Math J (2018) 59: 641. https://doi.org/10.1134/S0037446618040067

Abstract

We study the energy functional on the set of Lagrangian tori in CP^2 . We prove that the value of the energy functional on a certain family of Hamiltonian minimal Lagrangian tori in CP^2 is strictly larger than energy of the Clifford torus.