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Calibrations associated to Monge-Ampère equations
Author(s):
Micah
Warren
Journal:
Trans. Amer. Math. Soc.
362
(2010),
3947-3962.
MSC (2000):
Primary 35J60
Posted:
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:
10.1090/S0002-9947-10-05109-3
PII:
S 0002-9947(10)05109-3
Received by editor(s):
July 17, 2006
Posted:
March 9, 2010
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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