Article ID Journal Published Year Pages File Type
1898443 Journal of Geometry and Physics 2015 8 Pages PDF
Abstract

In this paper, we introduce a one-form ΦΦ associated to a Lagrangian immersion ff from Riemann surface MM into the complex hyperquadric Q2Q2. It is proved that ff is minimal if and only if ΦΦ is vanishing and ff is H-minimal if and only if ΦΦ is holomorphic. As an application, a family of S1S1-equivariant minimal Lagrangian tori in Q2Q2 are obtained.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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