On indefinite special Lagrangian submanifolds in indefinite complex Euclidean spaces

摘要

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.