Let
L be a Lagrangian submanifold of a Kähler manifold (
M, J, ω). In the present paper, we give the integral formula of the Maslov index of
L. Using this, we investigate relations between symplectic topological conditions and the mean curvature vector of
L when (
M, J, ω) is a Kähler-Einstein manifold with nonzero Ricci curvature.
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