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arxiv: math/0702291 · v2 · pith:QCXWCVCJnew · submitted 2007-02-10 · 🧮 math.AP · math.DG

Calibrations associated to Monge-Ampere equations

classification 🧮 math.AP math.DG
keywords equationslagrangianmonge-amperespecialsubmanifoldsariseassociatedcalibrations
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We show the volume maximizing property of the special Lagrangian submanifolds of a pseudo-Euclidean space. These special Lagrangian submanifolds arise locally as gradient graphs of solutions to Monge-Ampere Equations.

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