Abstract
In this paper, we introduce a one-form Φ associated to a Lagrangian immersion f from Riemann surface M into the complex hyperquadric Q 2 . It is proved that f is minimal if and only if Φ is vanishing and f is H-minimal if and only if Φ is holomorphic. As an application, a family of S 1 -equivariant minimal Lagrangian tori in Q 2 are obtained.
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