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

Kai Cieliebak·Edward Goldstein
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Abstract

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.

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Kai Cieliebak, Edward Goldstein. 2004-12-03. A note on mean curvature, Maslov class and symplectic area of Lagrangian immersions. https://arxiv.org/abs/math/0310046

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