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A note on mean curvature, Maslov class and symplectic area of Lagrangian immersions
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A note on mean curvature, Maslov class and symplectic area of Lagrangian immersions
classification
math.DG
math.SG
keywords
curvaturelagrangianahler-einsteinareaclassimmersionsmaslovmean
read the original 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 K\"ahler-Einstein manifold. An immediate consequence is that in K\"ahler-Einstein manifolds with positive scalar curvature, minimal Lagrangian immersions are monotone.
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