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Calibrations associated to Monge-Ampere equations

Micah Warren
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Abstract

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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Micah Warren. 2007-02-10. Calibrations associated to Monge-Ampere equations. https://arxiv.org/abs/math/0702291

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