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Monge-Ampère Equations on (Para-)Kähler Manifolds: from Characteristic Subspaces to Special Lagrangian Submanifolds
Authors | |
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Year of publication | 2012 |
Type | Article in Periodical |
Magazine / Source | Acta Appl Math (2012) 120:3–27 DOI 10.1007/s10440-012-9707-1 |
MU Faculty or unit | |
Citation | |
Doi | http://dx.doi.org/10.1007/s10440-012-9707-1 |
Field | General mathematics |
Keywords | Monge-Ampere equations, special Lagrangian submanifolds, para-K\"ahler manifolds |
Description | Wew present a basic facts of geometric theory of second order PDE in the framework of contact and symplectic geometry. Then we focus on Monge-Ampere type equations and discuss their relations with special Lagrangian submanifolds of para-K\"ahler manifolds. |
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