On a Lower Bound for the Energy Functional on a Family of Hamiltonian Minimal Lagrangian Tori in ℂP2

Аннотация

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.