On a Lower Bound for the Energy Functional on a Family of Hamiltonian Minimal Lagrangian Tori in ℂP2
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DOI: 10.1134/s0037446618040067
Abstract: 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… read more here.
Keywords: energy functional; hamiltonian minimal; lagrangian tori; family hamiltonian ... See more keywords
An-type surface singularity and nondisplaceable Lagrangian tori
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DOI: 10.1142/s0129167x20500202
Abstract: We prove the existence of a one-parameter family of nondisplaceable Lagrangian tori near a linear chain of Lagrangian 2-spheres in a symplectic 4-manifold. When the symplectic structure is rational... read more here.
Keywords: nondisplaceable lagrangian; singularity nondisplaceable; lagrangian tori; type surface ... See more keywords