Calibrations associated to Monge-Ampère equations

Warren, Micah

doi:10.1090/S0002-9947-10-05109-3

Calibrations associated to Monge-Ampère equations
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by Micah Warren

Trans. Amer. Math. Soc. 362 (2010), 3947-3962

DOI: https://doi.org/10.1090/S0002-9947-10-05109-3

Published electronically: March 9, 2010

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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-Ampère equations.

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