A note on mean curvature, Maslov class and symplectic area of Lagrangian immersions

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In this note we prove a simple relation between the mean curvature form, symplectic area, and the Maslov class of a Lagrangian immersion in a Kähler-Einstein manifold. An immediate consequence is that in Kähler-Einstein manifolds with positive scalar curvature, minimal Lagrangian immersions are monotone.
J. Symplectic Geom. vol 2 (2004), issue 2, 261-266

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Differential Geometry, Symplectic Geometry, 53XX

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http://salesiana.dossiersoluciones.com/handle/123456789/68739

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310046
 http://arxiv.org/abs/math/0310046

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arXiv