On Indefinite Special Lagrangian Submanifolds in Indefinite Complex Euclidean Spaces

Details On Indefinite Special Lagrangian Submanifolds in Indefinite Complex Euclidean Spaces On Indefinite Special Lagrangian Submanifolds in Indefinite Complex Euclidean Spaces

2008-05-19

arxiv.org/abs/0805.2718v1

Mathematics

Differential Geometry

24 pages

Scientific paper

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.

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