On Indefinite Special Lagrangian Submanifolds in Indefinite Complex   Euclidean Spaces
  In this paper, we show that the calibrated method can also be used to detect indefinite minimal Lagrangian submanifolds in $C_k^m$. We introduce the notion of indefinite special Lagrangian submanifolds in $C_k^m$ and generalize the well-known work of Harvey-Lawson to the indefinite case. 
Yuxin Dong