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arxiv: 0805.2718 · v1 · pith:TAI67OZEnew · submitted 2008-05-19 · 🧮 math.DG · math-ph· math.MP

On Indefinite Special Lagrangian Submanifolds in Indefinite Complex Euclidean Spaces

classification 🧮 math.DG math-phmath.MP
keywords indefinitelagrangiansubmanifoldsspecialcalibratedcasecomplexdetect
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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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