Monge-Ampère Equations on (Para-)Kähler Manifolds: from Characteristic Subspaces to Special Lagrangian Submanifolds

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Authors	ALEKSEEVSKIY Dmitry ALONSO-BLANCO Eicardo MANNO Gianni ALONSO-BLANCO Ricardo PUGLIESE Fabricio
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	Faculty of Science
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.
Related projects:	Algebraické metody v geometrii s potenciálem k aplikacím