Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898443 | Journal of Geometry and Physics | 2015 | 8 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Jun Wang, Xiaowei Xu,