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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Calibrations associated to Monge-Ampère equations


Author: Micah Warren
Journal: Trans. Amer. Math. Soc. 362 (2010), 3947-3962
MSC (2000): Primary 35J60
Published electronically: March 9, 2010
MathSciNet review: 2608392
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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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Additional Information

Micah Warren
Affiliation: Department of Mathematics, University of Washington, Box 354350, Seattle, Washington 98195-4350
Address at time of publication: Department of Mathematics, Fine Hall, Princeton University, Washington Road, Princeton, New Jersey 08544-1000
Email: mww@princeton.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-10-05109-3
PII: S 0002-9947(10)05109-3
Received by editor(s): July 17, 2006
Published electronically: March 9, 2010
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.