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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68739In 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, 261-266Differential GeometrySymplectic Geometry53XXA note on mean curvature, Maslov class and symplectic area of Lagrangian immersionstext