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Calibrations associated to Monge-Ampere equations

Analysis of PDEs 2011-11-09 v2 Differential Geometry

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.

Keywords

Cite

@article{arxiv.math/0702291,
  title  = {Calibrations associated to Monge-Ampere equations},
  author = {Micah Warren},
  journal= {arXiv preprint arXiv:math/0702291},
  year   = {2011}
}

Comments

18 pages. typos corrected