On Indefinite Special Lagrangian Submanifolds in Indefinite Complex Euclidean Spaces

preprint2008arXivOpen access

Abstract

In this paper, we show that the calibrated method can also be used to detect indefinite minimal Lagrangian submanifolds in CkmC_k^m. We introduce the notion of indefinite special Lagrangian submanifolds in CkmC_k^m and generalize the well-known work of Harvey-Lawson to the indefinite case.

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